Thanks for your reply, Neemobeer.
I'm able to add the users from Domain A to Domain B's DLG as I'm able to see Domain A user names from Domain B.
However when I tried to grant Domain A users (from Domain B's DLG) via the member server of Domain B, I'm not able to see the user friendly name (from the member server). If this is the normal behaviour, may i know how application grant user access in a trusted domain for authentication purpose?
Thanks.