It would depend on whether or not the problem was with the moderator or the member - progressive discipline starting with a pm to "we are noticing you are doing blah blah blah, please don't" increasing up to banning if the issue isn't straightened out. It depends on the issue too, sometimes a first offense is enough to go straight to a ban. It's much better to deal with it in private and quickly to keep them from spoiling it for everyone.
We developed a set of guidelines for moderators at ubbdev and adapted for here - clear expectations up front head off a lot of problems that could have popped up if we were vague about how we handle things. Here's the link:
https://www.ubbdev.com/columns/tackaberry/mod_guide.htmlThe moderator implicitly agrees to the guidelines before they start. Feel free to adapt for your own use.