UPDATE: Looks like Gaemon_Palehair found something already built in that I can use to program new remotes/homelink for people. So no electronics project for right now. I will do another post if that doesn't work and I need to continue with my idea. Thank you!

Problem:

We have go through a roll up gate and then our garage door to park. Our garage door has a learn button and it works with homelink. The roll up door does not (its a liftmaster gh501L5). So for 4 years everyone in this 14 house hoa has had to use a second remote for the gate. I want to fix that.

What we want:

In the best case, I would like be able to train Homelink to work with the gate so that we don't have to have an extra remote in our cars

Potential options:

1. As an HOA just replace the motor with something that can learn and be done with it (the not fun/expensive option)
2. My house is in range of the gate with the current remote... setup something that manually presses the remote with a little servo or something. I was thinking it would be cool I could set that up so it could 'learn' everyone's homelink setup in their cars. But if that is impossible, I could serve up some tiny web page and give people access to that.
3. Do the same as 2 but dig into the remote and directly trigger the signal like the button normally would
4. Any other ideas?

Questions:

1. anyone have resources for doing this sort of thing? I am a software developer but I haven't messed arduino projects much at all
2. Any other ideas on how to solve this?