Cleaning the throttle body can help depending on how badly contaminated it is but from the description of your fault I'd be also checking your coolant temp sensor reading.
Change your leads and anything else that's visually duff
Check all your vacuum hoses
Get VAG-COM/Similar diag software to read your coolant temp sensor to see if its reading right. If its reading -20 c on cold start for example then the ECU dumps in more fuel causing the car to run rough and cut out.
Cracked leads cause all sorts of issues so it is the best place to start
