Mmm... OK. I think I got it. I need a University administration center in my homeworld, Sunset Valley, for the whole stuff to work as intended, is that? Oh my! I thought that homeworld University just referred to the normal University map where you send your sims to earn a degree. LOL

Let me try to put an administration center in my homeworld. I'll come back in some minutes.

Yep. It was that. Once there's an administration center in town, the submenu that was missing is present now. My fault. Thank you very much for your help!

The purview of homeworld university is to have university in the homeworld. You'll need the other class rabbitholes too to attend classes. Glad we got the menu sorted.

That makes sense. Do you know if npcs that get a degree at homeworld University also get an additional trait after graduation, just as active sims?