Is repenting the same as it always has been or do we in the New Covenant repent in a new way? (Roman Catholic perspective)

In Judaism you repent to get back to "normal" or back to God. Another reason is to stop the consequence of sin. So you have Thesuva (repenting) for a week before Yom kippur in order that God will bless you with a good year. Since the roots of Christianity comes from the Jews. And that the RCC see tradition and the mystical as something important just as in judaism. In the Old Testament repenting has to deal not only with your heart and emotions but also your actions, you had to pay for your mistakes not just change your mind and look forward. If not there will be a negative consequence but if one do repent God will heal the land. Almost every Church will teach that Jesus did take away the sins of the world, but He is also presented as the Lamb and did teach about repenting. So Is repenting the same as it always has been, or do we In the New Covenant repent in another way after the Cross? > Repent, for the kingdom of heaven has come near. (Mark 3:2) According to the RCC.