After engine shut down (during taxi as a fuel saving measure) a tailpipe fire occurred (or so it seems).
Luckily the other engine was still running to assist with the tail pipe fire CL.
I'd rather be taxiing with one engine running than parked at a gate with no engines running and no APU running whilst a tail pipe fire is in progress.
A flight is never over until the last pax/crew have disembarked and/or the next crew/engineer takes responsibility of the aircraft after parking it.
I am pretty sure they handled it just fine.