Any links to the Moto-Edge opener?? Sounds like it may not be compatible with your main unit. There are several types of security features on the market today. Genie has two that I know of and really three if the opener is very old. Some use a fixed code with dip switches and others generate a random code each time. The two systems are not interchangeable.
I would make sure the basics were covered.... nothing blocking the electronic eye, OEM remote works, etc. You could always modify an OEM remote to work with with a hidden switch as posted before the BBS hiccup.
Beyond that I'm am purely guessing.....