0) To identify
Here is the official document to help you identify which protocol you would have on your GDO:
Determine the Color of the Learn Button on Your Garage Door Opener (chamberlaingroup.com)
1) If yours is not one of those “Security+ 2.0” GDO
I have seen Athom selling a complete kit that is with ESPHome already:
Garage Door Opener for ESPHome | athom
(Wow - I didn’t aware that the price is ridiculously low.)
Or you can obviously DIY, roll your own ESP32 with controls and sensors, using a Shelly (Uni should be good enough, also ESPHome compatible if you want to), I have done something using Zooz Z51, plus there are tons of zigbee relay boards also.
BTW ZEN16 or 17 would work also, with the benefit to control multiple doors and integrate door status sensors.
I have also seen someone on YouTube using a 110V to low voltage dry contact relay, and then you can use regular smart plug also.
And I suppose most of the GDO around the world would be able to use one of the solutions above… since the MyQ being predominantly an US thing.
(Or wait a bit for Paul to update his future RATGDO to support non-Security+ 2.0.)
2) If yours being a Security+ 2.0 GDO
… then you have the option of the existing RATGDO, or using the Athom / Shelly / Zooz, etc… along with something like these, which you can DIY or buy.
(Something like this: Cutting out MyQ cloud from Garage Door control )
Someone above recommended a now-discontinued MyQ bridge. That bridge itself is OK, and you can operate cloud-free, but you would still be paying MyQ for abandoning HomeKit and breaking things that should be working, and you would still need the MyQ cloud for initial setup - who knows whether the “initial setup” would still work 1 or 3 or 5 years down the road. For those reasons, I personally would suggest we stay away. But that’s just me - no intensions to impose my opinion.
3) BTW
One thing to note: apart from RATGDO, Athom, and bridges from MyQ, most of the recommendations above are about the open/close side of the garage door operations. But for a complete garage door opening solution, you would also want to have some sort of sensor(s) to know your door status being open or close (and/or even a way to detect opening / closing).
Hope this helps.