Sin is orthogonal to sacrifice. Pagans had sacrifice, but not sin. Jews had sacrifice and sin. Christians had sin but not sacrifice. That was the whole point of

Sin is orthogonal to sacrifice. Pagans had sacrifice, but not sin. Jews had sacrifice and sin. Christians had sin but not sacrifice. That was the whole point of the religion, you did not have to "pay up" because God had already paid for you. At the time it was a novel (even revolutionary) idea and most certainly contributed to Christianity spreading so quickly because poor people generally had very little to sacrifice.