One way authentication trust setup

Hello,

Forgive me if this is spelled out somewhere else but I could not find it. I have a setup that I need help with. I need to setup a server to join one domain and authenticate to another. Here are some of the details:

Domain A has a one way trust with Domain B
Domain B will have no users one it and the server will be joined to it
Domain A will be used to do authentication and is windows based

I have tried a few different things to get this to work and what I am seeing when I do a vastool flush is that the server is not even trying to authenticate to Domain B.

Any help is greatly appreciated and keep in mind that I don't have much experience doing this. So please spell it out.