character controller and interactive cloth

I have a interactive cloth object with a character controller parent. I move the character controller with .Move(). Everything works fine except that the character's cape (the interactive cloth) lags behind the character controller. When I stop moving the character controller the cloth snaps back in place. I tried using the FixedUpdate() function instead of Update() but it still has the same problem. Please help.

Unfortunatley this is not an answer. More a question, did you make it work, and then how?