1997 Suzuki intruder backfires but has good power

SOURCE: backfiring

when you replaced the exaust you should of had the jetting changed they have to be rejetted.
there is your problem

SOURCE: backfiring and low compression in back cylinder

sounds if you have a burnt valve/s somewhere

SOURCE: My suzuki intruder is missing backfiring on the

Did you sync the two carbs? If not the rear may be getting all the gas from the rear carb and none to the front. Twist throttle engine off and see if front carb cable is pulling the carb open.
Also unscrew the spark plug boot from the front spark plug wire and trim 1/8th inch off the wire and screw the boot back in. The plug wire end may be corroded on that wire.

SOURCE: Backfiring 2004 Suzuki Intruder

an exhaust leak can, check the exhaust gasket and bolts.Carbs being loose unlevel or dirty can as well. the carbs may need too be set for proper timing with each other.

Testimonial: "Thanks! I'll do exactly that."

SOURCE: 2004 Suzuki VL1500 Intruder LC Motorcycle backfire

If they cant duplicate it your good.Usualy with backfiring i would make sure to eliminate any exhaust leaks. The dealer is inexperienced at solving compound problems,(sorry) not picking a fight, but sometimes cleaning is not goog enough,I went through this with a 1400 Intruder.several attempts were needed to get the two carbs level on the same line with each other.so the floats would work properly together,then set fuel flow and the air flow through the ventouri in the carbs.Also i had to make these adjustments while level (not on side stand) The floats were very sencitve to needle valve to seat adjustment(bent to open or close some of the flow)