One of the ways I often teach my family (and in future, my kids) is how to reconcile with another.
It's very interesting, easy but LAZY way to just say to them to say to each other "Sorry" and then think that it's done-deal, and all's nice and rainbows.
Sorry, that ain't good enough. It's too superficial, and worse:
That's only half the story.
The other half is to seek to reconcile, which is done by actively communicating to each other with affirmations and actions of love, rather than walk away. Of course if it's with someone you'd rather never meet again, then of course, just walk away.
But if my wife and myself just had a disagreement, we would make up in tender words, touch and affirmations, to reconcile our hearts back together and strengthening the relationship.
This is why when we teach our children who has hurted each other, be it intentionally or unintentionally, we teach them to both say sorry and hug, to cement the relationship. With friends, it can be a handshake or a gift.
Without strings attached, or having the other "work for the forgiveness or acceptance" - this is something I will not tolerate.