First off, you shouldn't add throttle when starting the bike especially if it is cold. It will flood the motor and probably caused the backfire and smoke which came out of the intake. If you don't see any burnt wires, the smoke is probably nothing. That's what a backfire is and instead of the smoke coming out of the exhaust, it came out of the intake.
As to the no start, you need to tell us what the voltage of the battery is before you start and while you are cranking. This will help determine battery life. Ensure all the wires are tight to the battery, starter and ground also. You want to see a healthy voltage around 13 volts if the battery has just been charged. While cranking it shouldn't drop too much, say no more than 11 volts. If you don't have a voltmeter, boost the bike to see if it starts from a jumper battery. If it starts no problem, I'd replace the battery.