Problem with auto-follow for my own clothes

I'm starting to learn the proccess of creation of different props, clothes etc.

So here's the problem: I created my first dress for G8F, imported it as an .obj to DS, used Transfer Utility to fit it and enable auto-follow but there is a slight hiccup.

Zero pose screenshot - looks OK(as far as I can tell, if you see problems, please tell me, yeah, there are no textures and no postwork yet, I was just learning how to make auto-fit and auto-follow work)

Moving shoulders forward screenshot - the stomach part of the dress starts to look weird. It doesn't move when IRL it should. 

What are the possible ways to fix it and make it look more natural? Is it possible to tell auto-follow to move parts of the model when other parts move?

Thanks!