Out the box.Cranks and runs on cold.when you give it full throttle and knock it off fast idel try to let it idel it die's.After u use it a few min. it die's and want start back till it cools.

Something has to be fubar with the main jet circuit of carb. That explains why it starts and then shortly thereafter shuts down. Also explains why when you give it gas it cuts out cold.

U have ignition but NO engine will run without proper fuel flow.

Ok I assume what you are trying to say is that once it starts with the choke on and you turn the choke off it dies.
This behavior usually means that the engine is leaning out. This means that it is not getting enough gas. Often if you put it back to choke fast enough it will keep running though very roughly.
The problem is the main metering jets are plugged or there is some kind of obstruction in the carburetor. This is assuming of course that the tank is full of gas and the fuel filter is clean.

you need to adjust you idel or fual air mixure i messed with that stuff alot and there apain in the *** you have to get it just right

A two-stroke engine idles because a very small hole behind the throttle plate lets a tiny amount of gas through to keep the engine running. At full throttle the air moving through the carburator pulls gas through the venturi vaporizing it. With the motor at idle, if you give the motor full throttle very fast the first charge or two that get into the cylinder are almost completely fresh air with vary little or no gas mixed in. It takes a revolution or two for the motor to pull air through the carburator fast enough to get a fully charged mixture of gas and air into the cylinder so you get full power. This effect is especially pronounced when the motor is cold, the gas doesn't vaporize as well when the motor parts are cold. If you give it throttle slowly or let it warm up the effect should go away.

It sounds to me like your main jet or high speed circuits could be plugged up in the carb(s) or you could have water in the fuel. If you are reasonably mechanically inclined, I would suggest removing the carbs and giving them a good cleaning. You might want to give it a fresh set of plugs and a new air and fuel filter while you are at it.

just change your t.p.s ( throttle position sensor) the codes are false codes when tps goes out and the engine struggles to keeps going this will cause codes to be sent that are not really prob.

You are going to need access to a scan tool for this.plug the scanner into your truck and look at the engine coolant temp. if it's 75 out and your engine is cold,the coolant sensor should read 75.If it reads 40 or 25deg.it adds a bunch of fuel,just as if it was trying to start the engine on a cold day.If you can use an infrared temp gun,warm the engine...compare the sensor reading with the temp at the thermostat...

disconnect the battery and plug it back in. sometimes it may take the vehicle a couple of runs for it to reteach itslef.

have 04 polaris predator 500 doing the same thing, when giving full throttle it seems to be hitting a limiter a couple of 1000 rpm below full rpm, but will only start with air box disconnected from carby and spitting gas out, might be buggered T.P.S unit have bought new Keihin Flat CR carby with T.P.S on it so to replace one on thumb throttle as it has taken some knocks ( should be able to test T.P.S with volt meter when pushing the throttle), a cdi unit and coil will see how that goes.

I just had the same issue with my 88 xlt w/351 W it wound up being the MAP sensor and the timing. I would check both of these and see if it solves your issue.