Air Conditioner Works on shore power not the Gemerator

Until this post, all have been about your generator troubles. One of the last ones said you had one AC working on the generator after swapping parts from your Mom's plus problems with your transfer switch. Do you have power to your 120V outlets while using the generator? With a 5K generator some MHs have a switch that lets you select between the microwave and the second AC unit although you imply that you have a management system. We need more info and I'll assume you have checked the breaker on the generator.