OK, you need to use the Permissions MASKS (NOT just looking at the permissions). In the ACP, Permissions tab, Permission masks, select "View forum-based permissions". Then select a forum where this condition is occurring, and then select a user who should be able to post without moderation, but can't. Then View permissions. You will get something like this:
Click the O-> icon to the left of Can post without approval, and you will get a permissions trace. Post a screenshot of it.
good and VERY
inexpensive hosting CLICK HERE
I can stop all your spam. I can upgrade or update your Board.
PM or email me. (Paid support)