The sensor listed previously, 357 919 369 E, runs the electric fan / A/C. VR6's use a 3 stage sensor for it; turns on at 112C and off at 108C....and it turns off the A/C at 119C. Probably runs high speed for the electric fan.
Looking closer; the after-run pump is run by sensor, 701 919 369 D. This is a 20mm, 4-pin sensor and also serves as the temperature sensor. This sensor switches closed at 100C and opens at 95C.
VR6 (#5-369D and #7-369E):
S4 (#3A):
Note: Auto VR6's without A/C use the S4 sensor, 357 919 369 F.
Current Audi Count ---> 5

Previous Audi Count ---> 7
In spite of dealers; I still love Audi :-)