The need for confession:

Lv 5:5-6 When a man is guilty in any of these, he shall confess the sin he has committed, and he shall bring his guilt offering to the Lord for the sin which he has committed, a female from the flock, a lamb or a goat, for a sin offering; and the priest shall make atonement for him for his sin.

Link to original

God’s permission of attrition / imperfect contrition:

Lv 5:7,11 But if he cannot afford a lamb, then he shall bring, as his guilt offering to the Lord for the sin which he has committed, two turtledoves or two young pigeons, one for a sin offering and the other for a burnt offering. But if he cannot afford two turtledoves or two young pigeons, then he shall bring, as his offering for the sin which he has committed, a tenth of an ephah of fine flour for a sin offering; he shall put no oil upon it, and shall put no frankincense on it, for it is a sin offering.

Link to original