For everyone except Israel’s high priest, the Tabernacle/Temple service of Yom Kippur (Day of Atonement) is all about faith — no one else is present there. It takes several layers of faith to believe that what the high priest is doing would heal the rift between Heaven and Earth. So it’s only that Yom Kippur finds its fullness and its enduring lessons-in-practice through faith in Messiah Yeshua (Christ Jesus).
https://hallel.info/atonement-2022/
Leviticus 5 sounds very similar to Leviticus 4 in a lot of ways. Both passages discuss unintentional violations of God’s commandments and sin offerings, but the “guilt offering” we’re looking at today is different.
When you pray to God earnestly, you feel relieved that you can release those things that only God can hear, release them to Him and find relief. We don’t approach our High Priest with animals. We are God’s Temple. When we come to God with our sins, the High Priest brings His sacrifice and our repentance to God and we received God’s forgiveness. Without God’s Spirit increasing in us, we will not grow.
Cain’s offering was not rejected because it was the wrong offering. It was rejected because of the condition of Cain’s heart. God warns Cain that he has let sin into his heart and his house. God instructs Cain that he is to rule over sin not to allow the sin to rule over him, but the sin in Cain’s heart was too pleasurable to him.