A second difference is who was allowed to eat each sacrifice. The Passover was a meal shared by a circumcised household, while in the sin offering, only the males among the priests ate portions of it (Leviticus 6:26), and only in two cases. The sin offering is divided into four categories, according to who had committed the sin, whether a priest (verses 3-12), the whole congregation (verses 13-21), a leader of the people (verses 22-26), or an individual (verses 27-31). In the case of a priest or the whole congregation, the priest offered part of the animal on the altar as God's portion, and then he burned the remainder outside the camp (Leviticus 4:8-12, 19-21; 6:30), and thus, nothing was eaten by the priest. The priests could only eat a sin offering for a leader or another individual.
This teaches that while the priest could receive a portion for his service in performing the work of the sin offering in some cases - that is, when the offering was for the sin of a leader or other individual - he could not receive any portion when it was for the sin of the priesthood or the congregation, of which he was a part. In other words, he was not to eat of the offering for sins he had a part in. In addition, God did not allot any of the sin offering for the one making the offering. When we apply this to the Passover, it gives us a third reason why it was not a sin offering: In type, it would signify each household benefitting from - being fed by - the sins they had committed, which is entirely contrary to the divine pattern.
As mentioned, only the priests could eat of the sin offering, and only when it was for a leader or an individual (other than a priest). Of the four scenarios, a household (being a group) is the most like a congregational offering, and in that scenario, none of the sacrifice was to be eaten. What wasn't put on the alter was burned outside the camp.
A sixth difference lies in where these two sacrifices were eaten. Israel ate the Passover in homes, while God said the sin offering - when it could be eaten - had to be eaten by the priests in a holy place, and He specified the court of the tabernacle of meeting (Leviticus 6:26). At the time of the Exodus, there was no holy place for eating a sin offering, yet even after God had established a holy place, Israel still kept the Passover in homes, until well-intentioned kings made a self-directed change to the Passover, centuries later (see II Chronicles 30, 35).
