Thought to check for more info on your profile and found it is 2022 RV! Big help as we can then look at the drawings of how your RV is wired!
This is your 110AC drawing to show how it gets from point a to b:
https://www.winnebago.com/Files/File.../000204041.pdf
Many find these confusing so I did some markup to show things that seem important to check. Click this to get a better picture or go to the original above.
First make sure the plug on your cord has been plugged into the outlet from the Generator! Big one and easy to forget! You DO NOT have an auto transfer but what I call a "manual transfer" which is good and bad! One is that it takes you remembering to plug the cord in the box but it also is very easy to fix that type transfer---once we get the idea!
Then check the microwave as an easy way to tell AC is getting into and past the breaker box?
If power to micro but not to TV, step back and check the marked breakers at the box and cycle them off/on to make sure they are fully right.
The inverter is easy to confuse us as it does two things. When not turned on, it should just pass power through from the cord and breakers to the TV, etc.
When no power plugged in and the inverter is turned ON, it uses battery power to make AC for some "limited" use of tV, etc. The problem being that it quickly runs the batteries down, so be aware of the limits of running it too long! However a look at it to see if there are any breakers, switches, etc on it that need changed.
However if you've gotten to that point and find power on the other outlets along that string after the inverter have power but not the one for a TV, one might assume that the wiring at theone outlet needs a look???