Hi, and Welcome to the forum!
Propane generators have advantages; the fuel system doesn't gum up with old gasoline, the fuel never gets old, and generally, they run trouble-free for several years.
The disadvantage is that they are harder to troubleshoot, especially when it comes to fuel issues, and the demand valves go bad after a few years leading to the type of trouble you are having.
Your case sounds like a fuel delivery issue. Rough starting and running, not coming up to speed and quitting soon after starting would be symptoms of a bad demand valve, a low pressure in the fuel line (should be 11" of water column), maybe from a plugged line causing insufficient flow. VERY cold weather (below zero) or an empty tank will cause the same troubles.
Can you check the pressure in the line? some setups have a pressure meter that makes it easy. Is there fuel in the tank? Can you hear or smell fuel flowing when you press the purge button on the demand valve? How do other gas appliances work?
I know this is rather generic troubleshooting hints, but I don't have any specific information on your setup, so can't give any detailed information. Hopefully, others will come along with more ideas for you.
Anyway, Welcome.
HTH
Mike