Engine sometimes sputters on a hard downshift, what's the problem on 2004 Audi A8 Quattro

while driving at normal highway speed, if I "stomp" hard on the gas pedal the engine will sometimes hesitate or sputter before downshifting, or seemingly lag before firing up to speed

Asked by for the 2004 Audi A8 Quattro
1 answer
There are about 4000 codes for this engine, so the best thing to do is to have a Pro level tech diagnose this hesitation problem, by scanning the engine/transmission computers while performing a test drive and duplicating the hesitation.