It is impossible for the blood of bulls and goats to take away sin (Heb 10:4).
God knew that. That's why in the process of time He sent His own Son to die in place of the animal sacrifice and atone for the sins of the children of Israel under the Mosaic Law forever.
4 But when the fulness of the time was come, God sent forth his Son, made of a woman, made under the law,
5
To redeem them that were under the law, that we might receive the adoption of sons. Gal. 4:4–5.
There is nothing in the Law that says the animal sacrifice atoned for the sins of Gentiles, nor that Jesus Christ was sent to redeem Gentiles. And if it's not in the Law then it isn't doctrine in which to place your faith. It's a false Gentile theology that contradicts the bible, especially Galatians 4:4-5.
Are you sure about that?
Salvation always was, and still is, only by faith in the promise (Ge 3:5, 15:5, Seed, Jesus Christ, Gal 3:16).
The covenants did not promise salvation.
If you follow the family line of Jesus all the way back to Abraham in Matthew, you'll see that Jesus is the fulfillment of the Abrahamic Covenant. God made no covenant with Adam. When God made promise of the "seed of the woman" He was speaking to the serpent. He wasn't speaking to Adam or the woman so there is no covenant there. Not even the Noahic Covenant qualifies. It all begins with Abram the Hebrew and ends with Jesus.
1 THE book of the generation of Jesus Christ, the son of David, the son of Abraham.
2 Abraham begat Isaac; and Isaac begat Jacob; and Jacob begat
Judas and his brethren; Mt 1:1–2.
The salvation covenant is with Abram the Hebrew and later Isaac inherits the promises and later Jacob inherits the promises and then Judah and his brethren inherit the promises. So, as you can see the salvation covenant is with the Hebrew people that were born of Abraham and Sarah all the way down to the children of Jacob/Israel after God delivered them from Egyptian bondage and gave them His Law and made a new covenant, we the children of Israel building upon the Abrahamic Covenant.
Notice there are NO GENTILES in any of these two covenants.
So, the false Gentile theology that Gentiles are in the Abrahamic Covenant is false, a lie, and millions of Gentiles like yourself believe the lie.
God did say He was going to send Gentiles a STRONG delusion that they should believe a lie and this is it.
Come out from among them and be ye separate says the LORD.
Or perish with them.