The good news is this should be a simple fix. If you can do some simple electrickery. What you describe is when the 12v to the fuel solenoid of the pump is interrupted for a moment, the valve on the end of the solenoid gets sucked shut, power dies, then the engine revives once revs drop to 1100 rpm ish and the solenoid can overcome the suction. The bosch solenoids are usually reliable, so check the wiring to it. Could also be a dying ignition switch, common on mk2 Golf. Hope it's good news.