You should be able to carry modules. Here's the list of items you're allowed to carry:
- red/green wire (max 200 of each)
- copper cable (max 20)
- blueprints/books/decon planner/upgrade planner/artillery targeting/selection, copy, cut & paste tool
- car/tank
- equipment (i.e. stuff you put in a modular armor or vehicle if you have a vehicle grid mod)
- modules
If you have another mod that supplies additional modules that don't have "module" in its name, then it won't be recognized as a module, though.