Here is how the power works in my coach (2001 Alpine Coach). Your coach is probably in princile but with different component manafacturers.
Here is my AC Main Power panel.
Note that the power comes in through the transfer switch to the main panel and then out to the air conditioners, regardless of power source (shore power or generator power). If the air conditioners run on shore power, but not generator power, the generator or the transfer switch are the likely culprits.
If your generator is like mine, there will be a breaker on the generaltor control panel, shown in the photo below to the left of the start/stop switch. This breaker is the one mentioned in earlier posts where other forum members are recommending that you cycle it off and then on.
Your posts seem to say that everything is working except the air conditioners. I think you need to verify that. My coach has a control panel that indicates when AC (alternating current) is present. It is shown in the photo below. Note the green light for "AC (alternating current) in".
If everything works (not just the air conditioners ) on shore power, and everything but the air conditioners work while on generator power, then the only thing left is the source for 12v control power. Speculation makes me wonder if your batteries are bad and your inverter charge circuit is off or not working. Note in the previous photo of the monitoring panel that the charger light is lit and charging voltage is 13.5v. Note in the photo below that the panel indicates there is no alternating current, no charging, that the battery state is green/13.0v, and that the inverter is on.
If you have a similar panel to monitor your coaches power system, and you could share photos of the panel taken while on shore power, on generator power, and finally in inverter power, it may help the gang here isolate your problem.