If you have a Southwire surge protector/transfer switch like I do in my 2020 Pace Arrow 38K those two red lights are on when the system is operating normally. I'm more suspicious of the fact that the AC units come on and then turn off shortly thereafter. That's odd behavior. Like the thermostat or the power control module have decided that the ACs don't need to be on, so it removes the HVAC demand signal, which sends the generator back to idle. I'd try a couple of things:
1. Plug in your 20-amp shore power with the generator off and the AC units all off.
2. Turn the generator on. After a few seconds, you should hear the relay in the transfer switch click as it switches from shore to generator. Not sure about your rig, but in mine I can check on my multiplexer display and see where the rig is getting power. I think the Discovery has the same multiplexer.
3. Let the generator run a minimum of two minutes at idle, then turn on one of the AC units. After five minutes, turn on a 2nd AC unit and let them both run for five minutes. Then turn on the third.
Let me know what happens and we'll take it from there.