The New Covenant now in your heart. From animal blood, symbolic, pointing to Yeshua's shed Blood.

Luke.22[20] Likewise also the cup after supper, saying, This cup is the new testament in my blood, which is shed for you.

1Cor.11[25] After the same manner also he took the cup, when he had supped, saying, This cup is the new testament in my blood: this do ye, as oft as ye drink it, in remembrance of me.

David said: Psalm 40:[6] Sacrifice and offering thou didst not desire; mine ears hast thou opened: burnt offering and sin offering hast thou not required.
[7] Then said I, Lo, I come: in the volume of the book it is written of me,
[8] I delight to do thy will, O my God: yea, thy law is within my heart.

In the TaNaK it says: Jer.31 [31] Behold, the days come, saith the LORD, that I will make a new covenant with the house of Israel, and with the house of Judah.(not Gentiles) (The word for "new" is in the fem. Gender and is a adjective in Hebrew. The word renewed is a verb and is spelled differently. Renewed is wrong.)

I will say again, the word new is in the fem. Gender and it is a adjective, renewed is a verb and is spelled differently in Hebrew. This is why the renewed argument is wrong and these people do not know Hebrew grammar.)

:[32]

Not according to the covenant that I made with their fathers

But this shall be the covenant that I will make with the house of Israel; After those days, saith the LORD,

Heb.8 [1] Now of the things which we have spoken this is the sum: We have such an high priest, who is set on the right hand of the throne of the Majesty in the heavens;
[2] A minister of the sanctuary, and of the true tabernacle, which the Lord pitched, and not man.
[3] For every high priest is ordained to offer gifts and sacrifices: wherefore it is of necessity that this man have somewhat also to offer.
[4] For if he were on earth, he should not be a priest, seeing that there are priests that offer gifts according to the law:
[5] Who serve unto the example and shadow of heavenly things, as Moses was admonished of God when he was about to make the tabernacle: for, See, saith he, that thou make all things according to the pattern shewed to thee in the mount.
[6] But now hath he obtained a more excellent ministry, by how much also he is the mediator of a better covenant, which was established upon better promises.
[7] For if that first covenant had been faultless, then should no place have been sought for the second.
[8] For finding fault with them, he saith, Behold, the days come, saith the Lord, when I will make a new covenant with the house of Israel and with the house of Judah:
[9] Not according to the covenant that I made with their fathers in the day when I took them by the hand to lead them out of the land of Egypt; because they continued not in my covenant, and I regarded them not, saith the Lord.
[10] For this is the covenant that I will make with the house of Israel after those days, saith the Lord; I will put my laws into their mind, and write them in their hearts: and I will be to them a God, and they shall be to me a people:
[11] And they shall not teach every man his neighbour, and every man his brother, saying, Know the Lord: for all shall know me, from the least to the greatest.
[12] For I will be merciful to their unrighteousness, and their sins and their iniquities will I remember no more.
[13] In that he saith, A new covenant, he hath made the first old. Now that which decayeth and waxeth old is ready to vanish away.

Heb.9

[1] Then verily the first covenant had also ordinances of divine service, and a worldly sanctuary.
[2] For there was a tabernacle made; the first, wherein was the candlestick, and the table, and the shewbread; which is called the sanctuary.
[3] And after the second veil, the tabernacle which is called the Holiest of all;
[4] Which had the golden censer, and the ark of the covenant overlaid round about with gold, wherein was the golden pot that had manna, and Aaron's rod that budded, and the tables of the covenant;
[5] And over it the cherubims of glory shadowing the mercyseat; of which we cannot now speak particularly.
[6] Now when these things were thus ordained, the priests went always into the first tabernacle, accomplishing the service of God.
[7] But into the second went the high priest alone once every year, not without blood, which he offered for himself, and for the errors of the people:
[8] The Holy Ghost this signifying, that the way into the holiest of all was not yet made manifest, while as the first tabernacle was yet standing:
[9] Which was a figure for the time then present, in which were offered both gifts and sacrifices, that could not make him that did the service perfect, as pertaining to the conscience;
[10] Which stood only in meats and drinks, and divers washings, and carnal ordinances, imposed on them until the time of reformation.
[11] But Christ being come an high priest of good things to come, by a greater and more perfect tabernacle, not made with hands, that is to say, not of this building;
[12] Neither by the blood of goats and calves, but by his own blood he entered in once into the holy place, having obtained eternal redemption for us.
[13] For if the blood of bulls and of goats, and the ashes of an heifer sprinkling the unclean, sanctifieth to the purifying of the flesh:
[14] How much more shall the blood of Christ, who through the eternal Spirit offered himself without spot to God, purge your conscience from dead works to serve the living God?
[15] And for this cause he is the mediator of the new testament, that by means of death, for the redemption of the transgressions that were under the first testament, they which are called might receive the promise of eternal inheritance.
[16] For where a testament is, there must also of necessity be the death of the testator.
[17] For a testament is of force after men are dead: otherwise it is of no strength at all while the testator liveth.
[18] Whereupon neither the first testament was dedicated without blood.
[19] For when Moses had spoken every precept to all the people according to the law, he took the blood of calves and of goats, with water, and scarlet wool, and hyssop, and sprinkled both the book, and all the people,
[20] Saying, This is the blood of the testament which God hath enjoined unto you.
[21] Moreover he sprinkled with blood both the tabernacle, and all the vessels of the ministry.
[22] And almost all things are by the law purged with blood; and without shedding of blood is no remission.
[23] It was therefore necessary that the patterns of things in the heavens should be purified with these; but the heavenly things themselves with better sacrifices than these.
[24] For Christ is not entered into the holy places made with hands, which are the figures of the true; but into heaven itself, now to appear in the presence of God for us:
[25] Nor yet that he should offer himself often, as the high priest entereth into the holy place every year with blood of others;
[26] For then must he often have suffered since the foundation of the world: but now once in the end of the world hath he appeared to put away sin by the sacrifice of himself.
[27] And as it is appointed unto men once to die, but after this the judgment:
[28] So Christ was once offered to bear the sins of many; and unto them that look for him shall he appear the second time without sin unto salvation.

Heb.10:[1] For the law having a shadow of good things to come, and not the very image of the things, can never with those sacrifices which they offered year by year continually make the comers thereunto perfect.
[2] For then would they not have ceased to be offered? because that the worshippers once purged should have had no more conscience of sins.
[3] But in those sacrifices there is a remembrance again made of sins every year.
[4] For it is not possible that the blood of bulls and of goats should take away sins.
[5] Wherefore when he cometh into the world, he saith, Sacrifice and offering thou wouldest not, but a body hast thou prepared me:
[6] In burnt offerings and sacrifices for sin thou hast had no pleasure.
[7] Then said I, Lo, I come (in the volume of the book it is written of me,) to do thy will, O God.
[8] Above when he said, Sacrifice and offering and burnt offerings and offering for sin thou wouldest not, neither hadst pleasure therein; which are offered by the law;
[9] Then said he, Lo, I come to do thy will, O God. He taketh away the first, that he may establish the second.
[10] By the which will we are sanctified through the offering of the body of Jesus Christ once for all.
[11] And every priest standeth daily ministering and offering oftentimes the same sacrifices, which can never take away sins:
[12] But this man, after he had offered one sacrifice for sins for ever, sat down on the right hand of God;
[13] From henceforth expecting till his enemies be made his footstool.
[14] For by one offering he hath perfected for ever them that are sanctified.
[15] Whereof the Holy Ghost also is a witness to us: for after that he had said before,
[16] This is the covenant that I will make with them after those days, saith the Lord, I will put my laws into their hearts, and in their minds will I write them;
[17] And their sins and iniquities will I remember no more.
[18] Now where remission of these is, there is no more offering for sin.
[19] Having therefore, brethren, boldness to enter into the holiest by the blood of Jesus,
[20] By a new and living way, which he hath consecrated for us, through the veil, that is to say, his flesh;
[21] And having an high priest over the house of God;
[22] Let us draw near with a true heart in full assurance of faith, having our hearts sprinkled from an evil conscience, and our bodies washed with pure water.
[23] Let us hold fast the profession of our faith without wavering; (for he is faithful that promised;)

Heb.12:[18] For ye are not come unto the mount that might be touched, and that burned with fire, nor unto blackness, and darkness, and tempest,
[19] And the sound of a trumpet, and the voice of words; which voice they that heard intreated that the word should not be spoken to them any more:
[20] (For they could not endure that which was commanded, And if so much as a beast touch the mountain, it shall be stoned, or thrust through with a dart:
[21] And so terrible was the sight, that Moses said, I exceedingly fear and quake:)
[22] But ye are come unto mount Sion, and unto the city of the living God, the heavenly Jerusalem, and to an innumerable company of angels,
[23] To the general assembly and church of the firstborn, which are written in heaven, and to God the Judge of all, and to the spirits of just men made perfect,
[24] And to Jesus the mediator of the new covenant, and to the blood of sprinkling, that speaketh better things than that of Abel.
[25] See that ye refuse not him that speaketh. For if they escaped not who refused him that spake on earth, much more shall not we escape, if we turn away from him that speaketh from heaven:
[26] Whose voice then shook the earth: but now he hath promised, saying, Yet once more I shake not the earth only, but also heaven.
[27] And this word, Yet once more, signifieth the removing of those things that are shaken, as of things that are made, that those things which cannot be shaken may remain.
[28] Wherefore we receiving a kingdom which cannot be moved, let us have grace, whereby we may serve God acceptably with reverence and godly fear:
[29] For our God is a consuming fire.

Rom.11:[25] For I would not, brethren, that ye should be ignorant of this mystery, lest ye should be wise in your own conceits; that blindness in part is happened to Israel, until the fulness of the Gentiles be come in.
[26] And so all Israel shall be saved: as it is written, There shall come out of Sion the Deliverer, and shall turn away ungodliness from Jacob:
[27] For this is my covenant unto them, when I shall take away their sins.