Audi A3 ABS light and ABS light on VW Golf, is extremely common which is caused by a faulty ABS pump and module. Failure of this unit will cause the constant illumination of the ABS warning light and will prevent full operation of the emergency braking system, leaving only standard braking in effect.
Commonly we see an extensive amount of these ABS units sent into us for rebuild for the following fault codes: 01130 – ABS Operation Implausible Signal, 16352 – Control Module Defective and 01276 – ABS Hydraulic Pump (V64).
Common Failure symptoms:
ABS light on
ESP light on / traction control light
No communication to the ABS module
No ABS assisted braking
Pump motor constantly running
https://www.ecutesting.com/common-faults/volkswagen/volkswagen-golf-audi-tt-and-a3-abs-pump-failure/