One possible usage of the word is
As ____ for stealing the house, he made them chocolate cookies
It's a word for something positive/good that you do to right a prior wrong you may have committed.
The word probably starts with 'r'. It's a single word. And if I recall right, it's an -ion abstract noun.
Edit: The word might be used in religious contexts too.
As ___ for his mistakes, he planted a tree.