I have my garage doors controlled by my Omni. Yes I used relays, as they are AC, just wired the relay in parallel with the switch terminals then did a button in the Omni that triggers the relay on for 2 seconds.
Most garage door switch are AC which allows for three function switches using just diodes, full short for door, short half a phase for light, the other half for lock, so full short with relay triggers the door.