Ok Is it Local Control: or a wall stat>
If a wall thermostat then teh A/C has two power sources
12 volt, operats the T=-Stat and a relay
120 volt operates the blower and compressor
You are missing 120 volt
Check breaker, check screws in Brake box (All of them) to make sure they are tight UNPLUG FIRST from shore power and turn off Generator bef0re opening breaker panel to check screws.
NOTE: THis is a no-cost fix if that's the problem (Many RVers have a few screws loose, A #2 Square bit works well though a PHillips may do the job)
IF that's not it, the rest of the suspects cost money.