I have just installed Farwest Trivia and have done this. I love and hate it.
I have the Entertainment collection installed.
The games are not for my board so I have disabled them.
I now have two Teleconferences in my module list. What I was looking for is the Teleconference (galtele) and Tele-Trivia modules enabled. You'll notice I have another Telechat-Trivia module, that is something different, disregard.
I added a page to my menu tree (wgsrunmt) and pointed it to my only teleconference. (i have disabled the original teleconference).
Next I'll be in General Setup.
Here I can do one of two things, make it global (typing "trivia on" anywhere [or what ever you select as its pre-fix]) or have it start in a teleconference Channel.
Both have its ups and downs. They appear to be different modules, running at different times. FW TRIVIA module seems to be a different game from the Entertainment version. You can play them both in the FW trivia module with the 'trivia on' command.
Here is my Audit trail. Notice my normal FW trivia module loads near the top, but my Trivia for Entertainment Teleconference has also been linked.