The priest will give one bird for the wrong and one bird as a fire gift to God. This makes it right. That day the person starts the hair for God again.
And the priest is to offer one as a sin offering and the other as a burnt offering to make atonement for him, because he has sinned by being in the presence of the dead body. On that day he must consecrate his head again.
KJV
And the priest shall offer the one for a sin offering, and the other for a burnt offering, and make an atonement for him, for that he sinned by the dead, and shall hallow his head that same day.
ASV
and the priest shall offer one for a sin-offering, and the other for a burnt-offering, and make atonement for him, for that he sinned by reason of the dead, and shall hallow his head that same day.