Any changes to the exhaust on the car in question?
Popping/farting/burbling on over-run (which is exactly what you described) is pretty normal in automotive terms - as you end up with unburned fuel that ignites in the exhaust system rather than in the cylinder. Changes to exhaust can make this more obvious, particularly if cats and muffler/resonator designs have changed from stock.
You know in some cars, they're actually tuned to do this (pop/fart on over-run)? Golf GTIs and AMG Mercs are two off the top of my head that I believe are specifically factory tuned to promote this.
And if you want to see some seriously evil over-run and flames, check out the EVO magazine drive of the McLaren P1 on the racetrack in Abu Dhabi...
https://www.youtube.com/watch?v=4ojSstEv7-k