Offerings that were made under the first covenant were not able to remove a sense of guilt for sin.

Hebrews 9:6-10

6 After all those things were prepared {After they had prepared all those things like that} in the two rooms of the tent, the Jewish priests habitually went into the outer room of the tent to perform their rituals. 7 But into the inner room, only the Supreme Priest went, once a year. He always took [LIT] the blood of animals that they had slaughtered. He offered them to God for his own sins and for the sins that other people had committed. They included sins that they did not realize were sinful. 8 By those things the Holy Spirit indicated that just like God did not reveal the way for ordinary people to enter into the inner room while the outer room still existed [MET], similarly he did not reveal the way for ordinary people to enter the presence of God while the Jewish system of offering sacrifices was in effect. 9 The things that the priests did inside the outer room [MTY] symbolized what was true during the time when the first covenant was in effect. According to the first covenant (OR, In that outer room), priests offered gifts and other sacrifices to God. But by offering them, the people who brought them were unable to make themselves feel that they were no longer guilty for having sinned. 10 They brought those gifts and made those sacrifices according to regulations concerning things to eat and drink, and according to rules that required people to wash various things. God declared that those regulations about our bodies were to be in effect until he put into effect the new covenant; that was a better system.