I have the same issue- changed both MAF & MAP sensor including turbo trust and air filter for good measure and problem/ faults still coming up immediately or shortly after moving.
FYI air temp and manifold absolute pressure(MAP) sensor is one sensor 03G906051E- located on the engine manifold, accessed from below(directly under alternator). As this is directly wired to ECU the only other options are wiring issues or ECU (apart from the sensor itself).
Another thing i could think of after loads of research is that it could be triggered by something else that affects air readings (o2 sensor?)or even DPF.- some indications pointed towards turbo actuator but i i checked operation and change trust anyways., so perhaps turbo veins not moving freely
I taking my car to the independent specialist garage next week and hope that they can help with it..
Please let me know if you figure out what it is in meantime..