Suppose somebody has wronged me, and I want them to make amends. Say I ask for an apology. What are my efforts called? Am I also making amends, or is there a word/phrase that describes the action of trying to get somebody else to make amends?
One of the definitions of appeal is:
: to try to make someone do or accept something as right or proper by saying things that are directed at a person's feelings, attitudes, etc.
As the wronged party, you want the offender to make amends; that is not you making amends.
One tactic commonly used when one person is seeking (eg. an apology) from another, is to employ the classic "guilt trip".
So to describe taking this action, you might say: "I guilt-tripped him/her into doing what I wanted."