To keep the low cost 2-wire system and avoid infringing on patents, they get clever with garage door openers. It's a mix of analog and digital signals on it.
The obstacle sensors are also on the same 2-wire bus which makes it a bit harder to snoop on the signal there. It will have high-freq pulses present to prove there is no obstacle that you see in your scope traces.
I drew a schematic of the board and you could just use an opto-coupler to read/monitor the green LED. Try something low current like 0.5mA using a 6N139 and 30k resistor, which does not load down the bus enough I think to upset it. It is a current-loop.
Do you see how this two-wire bus works.
Shorted is the door Command button being pressed.
Pulse to GND is Light button, C2 1uF charging up time.
Pulse to GND is Lock button, C1 22uF charging up time.
Normally pulsing signal of obstacle sensors is also seen on the bus. It's for functional safety - if an obstacle sensor stops pulsing, then it is either blocked or not working and the opener refuses to close.
You can also use another opto-coupler for the RPi to issue an open/close command remotely, if you trust your software that much. This can be good for people dropping something off, a package etc. when you aren't home you can remotely open the door for that. Note the Light and Lock button have charge/discharge currents so you need a relay for bidirectional currents.
Another approach to monitor door status is to just add a door sensor: a magnet on the door and a reed switch or Hall effect switch, like in alarm systems. I use this. Once it worked, a thief body-slammed my garage door and it moved off the Hall sensor (maybe 1-2") and tripped my own alarm system. The opener did not move enough. It was just slop in the mech. and chain, some thieves will try open a door as much as possible and coat hanger at the top to hook the release cord and pull it.
edit: updated schematic with cap values, and same board is used in a few other brand names.
Liftmaster 41A5273-1 Multi-Function Control Panel, LiftMaster 78LM, 81LM, 371LM, 971LNM,
Chamberlain 41A5273-2, 41A5273-14, 945CB - 2-Button Wall Control Panel
Craftsman 53687 schematic, Liftmaster 14SR438B, 14SR551B schematic.