Rainbows apologize for angry skies

While I was in Spokane, Haddock and I had lunch at a Jimmy Johns. This was my first time inside the store so I was amused by the funny signs all over. Not only were there funny signs, but there were also some serious ones. The one by our table said "Proper apologies has have three parts: 1.What I did was wrong. 2. I feel bad that I hurt you. 3.How can I make this better." I thought that was a sign a lot of people should see. Many people thing "I'm sorry but..." is acceptable. It's not. The person you're apologizing to will only hear what comes after the "but". Recently I received a blanket apology for the way someone was acting in general. I didn't really know how to respond. Yes the behavior hurt me and it's good that it [the behavior] was acknowledged, but how can it be made better? I don't know.