“My bad” is the start. Saying what you’ll do differently is the actual apology.

A quick my bad acknowledges that something happened and then closes the subject, which is often why it gets said. What the other person is waiting to hear is whether tomorrow looks different. Naming the change turns an admission into a repair, because it gives them something to expect instead of a mood to forgive. It is also riskier, which is part of why it means more.

Next time you apologize, add one sentence about what you will do differently, small enough that you can actually do it. Then do that thing, visibly, within the week. One kept change outweighs a long list of sorries.