p0135
The ECM tracks how long it takes for the oxygen sensor to begin switching. It the ECM determines (based on coolant temp) that too much time elapsed before the oxygen sensor began operating properly, it will set P0135.
p0134
This code refers to the front oxygen sensor on Bank 1. Basically the oxygen sensor is inactive. Here's why:
The powertrain control module (PCM) provides a baseline voltage of about 450 mV on the oxygen sensor signal circuit. When cold, the PCM detects the the internal resistance of the sensor is high. As the sensor warms up the resistance is lowered and it starts producing voltage based on the oxygen content in the exhaust. When the PCM determines that the time it took for the sensor to warm up is greater than one minute or that the voltage is inactive (not reading outside 391-491 mV it views the sensor as inactive or open and sets the P0134 code.
Both above indicate your front cat sensor is not working which impacts on your fuel management.
Use a VAG-COM cable and software to monitor fault codes and how effectively your front sensor is reacting.
Check the sensor is connected properly. If it is it may be worth replacing. Money I know but how much to put through a garage for more work !!
Regards, Ian