I have a 2006 XL1200C Sportster that runs beautifully with a rejetted carb and vance and hines short shots. It's smooth on both acceleration and deceleration.
I wanted a bigger bike, so I just bought a 2006 FXDL Lowrider with only 3,000 miles on it. It has Vance and Hines Big Shots and a Screamin Eagle air filter. It runs smooth on acceleration but vibrates horribly on deceleration and pops and backfires.
I checked all the forums I could find on the subject and have checked the motor mounts, alignment, belt tension, and just removed the primary cover and checked the primary chain. I can't find anything wrong! However, the only way to decelerate is to pull in the clutch and then the vibration disappears. It's not just a vibration in the pegs, the whole bike seems to vibrate and shudder in any gear when you back off the throttle. Could it be the EFI???? It feels like a mechanical issue.