Leviticus 16:14
12 and take a censer full of coals of fire from the altar before the Lord and a full double handful of finely ground fragrant incense, and bring them inside the curtain. 13 He must then put the incense on the fire before the Lord, and the cloud of incense will cover the atonement lid which is above the ark of the testimony, so that he will not die. 14 Then he is to take some of the blood of the bull and sprinkle it with his finger on the eastern face of the atonement lid, and in front of the atonement lid he is to sprinkle some of the blood seven times with his finger. 15 “Aaron must then slaughter the sin-offering goat which is for the people. He is to bring its blood inside the curtain, and he is to do with its blood just as he did to the blood of the bull: He is to sprinkle it on the atonement lid and in front of the atonement lid. 16 So he is to make atonement for the Holy Place from the impurities of the Israelites and from their transgressions with regard to all their sins, and thus he is to do for the Meeting Tent which resides with them in the midst of their impurities.
Hebrews 9:13
11 But now Christ has come as the high priest of the good things to come. He passed through the greater and more perfect tent not made with hands, that is, not of this creation, 12 and he entered once for all into the Most Holy Place not by the blood of goats and calves but by his own blood, and so he himself secured eternal redemption. 13 For if the blood of goats and bulls and the ashes of a young cow sprinkled on those who are defiled consecrated them and provided ritual purity, 14 how much more will the blood of Christ, who through the eternal Spirit offered himself without blemish to God, purify our consciences from dead works to worship the living God. 15 And so he is the mediator of a new covenant, so that those who are called may receive the eternal inheritance he has promised, since he died to set them free from the violations committed under the first covenant.
Notes and References
"... Hebrews singles out the high priest’s entry with blood into the Holy of Holies as the rite’s definitive moment: that which uniquely makes Yom Kippur what it is. Apart from the single mention of the burning of animal corpses, Hebrews’ depiction of Yom Kippur focuses exclusively on the high priest’s entrance with blood into the inner sanctum. Hebrews never explicitly mentions the slaughter of the animals (Leviticus 16:11, 15), the application of blood to the outer altar (Leviticus 16:18–19), the people’s self-abasement (Leviticus 16:29, 31), or any element of the so-called scapegoat rite (Leviticus 16:20–22). The high priest’s entry to the Holy of Holies, his passing behind the veil, occupies virtually Hebrews’ entire vision of the rite (6:19–20; 9:3; compare 10:20). Following from this focus on the high priest’s entry with blood is our second point, that Hebrews describes the high priest’s inner-sanctum blood manipulation as an “offering.” Again, we read in 9:7, “Into the second [tent] only the high priest enters, once a year, not without blood, which he offers (ὁ ̀ προσφέρει) for himself and for the sins-in-ignorance of the people” (9:7). In 9:7 blood is the material offered, and it is offered in the Holy of Holies. In LXX depictions of Yom Kippur, blood is brought into the Holy of Holies (εἰσφέρω, Leviticus 16:15) and sprinkled on the mercy seat (ῥαίνω, Leviticus 16:14), but it is never “offered.” And no other ancient description of Yom Kippur labels the high priest’s inner-sanctum blood manipulation an “offering.”41 In other words, Hebrews’ choice to describe this act as “offering” is both unusual and deliberate ..."
Jamieson, R. B. Jesusʹ Death and Heavenly Offering in Hebrews (pp. 39-40) Cambridge University Press, 2019