Forgiveness and reconciliation isn't an exchange of goods. Again, if Patrick's offer of reconciliation is "I stopped doing something really shitty to you, we good?" it's a pretty twisted apology. And this is ignoring the physical abuse.
As for what he can offer Maya, perhaps a loving and accepting family connection in her future? Having connections to your parent(s) and other family can enrich your life if it's a positive one. If he proves that he can provide that, then it might be something Maya decides she wants enough to reconcile with him.
Either way, there's a serious need for some therapy here.