classic lean condition. you've mentioned absolutely nothing about condition....mods....prior problems and repairs if any.....CEL historic info if any.....nothing.
your back-fire into the airbox condition is either a failing CPS that comes back online with that identical back-fire result.....failing intake manifold seals.....an ecm incorrectly mapped....... a TB-to-base plate installed incorrectly.....or a tired O2 sensor that comes into play on closed-loop mode.
try a TPS reset if you have the ability and also look at your AFV value. that's your clue to what's going on right there.