The best fuel saving remap for a 2.0 PETROL audi is to take it back and get a Diesel. Seeing as that's not very helpful, you might be interested to hear that when I had my 2.0tFSI remapped to stage 1 (by DNA Tuning who have agents all over the place) I have seen a reasonable fuel saving if I drive carefully.
I do, at times, 30,000 miles a year and I think I've seen a drop in consumption since the map. I do a lot of steady motorway driving, mostly at or around the legal limit. I get 360 miles to a tank reliably and on a long slow run I can achieve 390 driving like Grandad.
If you do mainly short journeys and city driving then you won't see it get any better. It won't get much worse though, so what's not to like?
Edit to add: My car is also a Quattro which is the least efficient option, although it's good for FUN!
If I were you, and I was trying to keep my 2.0T FSI efficient, I would look to ensure your tyres are at the correct pressure, are in good health and that everything on the car is working. Some of the best efficiency savings I've found have been in fixing components or sensors that had started to go wrong, but not badly enough to throw up a fault light. Get VCDS and check you're running as well as you can be. Get the car on a rolling road and check the power output is as it should be.
Then I'd either keep your driving smooth, swap for a diesel or forget about it entirely and just enjoy every £1.49 drop of V-Power.