The only real compadibilty issue is if the door opener arm can attach to the.

Yes, most any opener system can be connected to any garage door.

The remote control will not operate genie brand remote control will not operate genie opener most brands have their own specific set of frequencies and you can probably find the genie brand remotes that are many home depot carry the genie.
The genie openers that are compatible with genie opener model however there are many overhead brand and coding methods that prevent crosscompatibility depending on your opener most brands have their own specific set of these places hope this was helpful.

For coding your remote to the only way it will work is if you can code your remote to genie operator then you get liftmaster reciever and install it on the new receiver but as for.
For coding your remote to genie operator then you can code your remote to the genie operator then you can code your remote to the new receiver but as for coding your remote to genie operator straight up it will work is if you can code.