Chapter 5: Forgiveness comes through a trespass offering
If you swear or make an oath of something and then do not follow through with it, you are sinning. (Leviticus 5:4). If you touch an unclean animal then you are also sinning.
To be forgiven of these sins you must first confess of them (Leviticus 5:5), then you must bring a trespass offering, which is:
“…a female from the flock, a lamb or a kid of the goats…” (Leviticus 5:6)
If you cannot bring the above, you are required to bring “…two turtledoves, or two young pigeons…” (Leviticus 5:7) – from here the priest of the temple will “…wring off his head from his neck… And he shall sprinkle the blood… on the side of the altar… the rest of the blood shall be wrung out at the bottom of the altar…” (Leviticus 5:8-9)
The second he would do the same thing as a burnt offering, the priest will make atonement for him.
If you are unable to bring turtledoves or pigeons you can bring, as a sin offering, a “…tenth part of an ephah of fine flour…” (Leviticus 5:11)
The priest will take the flour and burn it as an offering to the Lord.
If you sin in ignorance, you must also make “amends” to the sin, through an offering of a ram without blemish. This goes along with modern scripture: Doctrine and Covenants 131:6; “It is impossible for a man to be saved in ignorance”
Chapter 6: Forgiveness through Atonement – Restitution for Sin.
If you sin against God or against any man then we are required to make a “restitution” for that sin. For example if we stole $100 dollars from someone, we would need to confess the sin and then restore that $100 + $20 (1/5) of the money, so $120 dollars total needs to be restored to the owner, and then the person who sinned could go forth with his offering, so that the priests could perform the ceremony of killing and eating of the animal as an “atonement” for the man’s sin.