Motorcycle Repair: ATV Wont start on electric start, bike cranks, starter solenoid

Question
My 93 YFM80 Badger will only start if pushed while in gear. It has a fresh overhaul, new coil, has good spark, new battery cranks the engine fast, but will not light off. If I push it 2 feet with it in gear, it takes off, runs wheel. I can let it warm up, shut it off, and will not start on electric starter. I'm lost.

Answer
HELLO TAB,

IT SOUNDS TO ME LIKEYOU MIGHT HAVE A BAD STARTER SOLENOID.TO CHECK IT HOOK UP BOSTER CSABLESFROM SN AUTO TAKE THE RED HOOK IT DIRECTLY TO YOUR STARTER SOLENOID ANG GROUNG THE BLACK WITH YOU KEY ON IF THE BIKE CRANKS YOU HAVE A BAD STARTER SOLENOID
IF YOU NEE MORE INFO LET ME KNOW OK .

MITCH