Okay, so I'm an idiot, but not really sure. It is a "bang" when it backfires, not a "sneeze".... does that help?

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(Ignition troubleshooting)
(Engine backfires through exhaust)
Check the spark plugs to see if there's a crack in the white porcelin part of the sparkplug. May have struck one of the sparkplugs removing the motor cover or while putting the cover back on.
Improper timing.
Check for crossed sparkplug wires.
(Igniton troubleshooting)
(Engine backfires through the carburetor)
Improper Ignition timing
(Fuel sytem troubleshooting)
( Engine backfires)
Poor quality fuel.
Air/fuel mixture too rich or too lean.
.