Has it been sitting for a while?
A lot of times when a quad sits, especially if the petcock is still on, the fuel in the bowl evaporates but leaves deposits behind. These deposits clog up the jets and it won't run.
First off, if the engine DOES indeed run as long as you squirt gas through the carb, then it generally means the engine is fine.
If it used to run just fine with this carb and this setup, 90% of the time a good carb cleaning (spraying carb cleaner through all the jets, fuel passages, and everything) fixes everything. Go ahead and use the whole can of carb cleaner, it's cheap, clean it really well.
Duncan Racing 340PV, +2 A-arms, +4 LSR axle, and a host of other goodies.