MaxLife or GTX Hi-Miles 10w-40, check back in 5000 miles. The bogus 30 weight synth is the problem.
5w or 10w-30 weight synth is a pretty pointless exercise. Those grade are just fine in dino. It's not what Audi specs call for anyway, they call for 40 weight. Do you think you need 5w-40 synth? How cold is it right now? If it gets below 0f often, ok, try some Rotella T Synth 5w-40 otherwise 10w-40 dino or Hi-Miles. Most 30 weight synth oil burns like hell.
If you want to do an Auto-Rx application INSTEAD of Hi-Miles oil, that's fine too. I'd do a normal treatment of one full bottle, rinse with plain oil and then split another bottle up into 3-4 "maintenance" doses. That should clean the engine, clean the seals and condition them. Hi-Miles oil gives good results too, but ARX is better, even if you just go with one bottle for now.