2001 TRX 350 engine shut off while riding

Question edited for clarity.
Question moved to model category.

Here is the engine.

https://www.google.com/search?q=honda+trx+250+engine+for+sale

Bayou wiring harness

https://www.google.com/search?q=Kawasaki+Bayou+300+wiring+harness+replacement

..

sure sounds like something in the carb. just for fun crank it with your hand sealing the carb intake and see if you get gas on your hand. sometimes that'll clear up things. if your hand stays dry its got a fuel problem. older machine prob needs the valves adjusted too.

Sounds like the float bowl in the carb is sticking, go get a can called "Sea Foam" from your local parts store add about half the can to a full tank of gas take it for a good ride it will clean out any gunk and deposits in the carb and make it run good again i had the exact problem you are talking about with my wife's Suzuki Eiger 400 i let it sit for 5 months and it caused the carb to get all gummed up i ran Sea Foam in the gas and it runs like brand new again after riding it for about 45 mins.

Hi Eugene:
I'd be checking my fuel system.
Flush the carb
Make sure you're using fresh gas
Clean or replace the fuel filter.
Cheers.

those are prob carb de-icers for winter time

I do need more info.. BUT, #1 the main ignition coil could be going bad..when it gets hot (electrically), it starts breaking down internally, #2, could be a clogged fuel system,, the system is vented to allow fuel to flow through the petcock to the carb. If the fuel tank is totally sealed, it will vacuum lock. Let the atv sit for a few minutes, then it repeats this cycle? #3- make sure the vent tubes on the carb are clean and will flow air through them!! These are the three most obvious choices and a great starting point. Make sure your air filter is clean and in good shape!!!!!!

hi, sounds like a stuck float in your carb. Try tapping the carb briskly! sounds like gas is slowly dripping in the bowl overnight and you burn it the next day. I would take the bowl off and see how much gas pours out. It should come out like a light stream of pee. Could be cloged fuel filter or a gumed up or broken float, carb rebuild kits are cheap.
Good Luck!

Replace the starter relay

First.. check the compression..>120PSI...
Why did you replace the carb..???? that was unnecessary.. carburetors don't "just go bad"..
Stop playing mechanic.. take this ATV to a QUALIFIED professional!!