Hello.
Yes, I'm familiar with that problem. In my case, it was caused by the ignition switch, which occasionally failed to completely disconnect all circuits when switched off.
Replace the circuit board on the back of the ignition switch and it's good as new

.
Part Number: 4A0905849B
From the accessories: €15.
Audi: €44.
Another possibility would be a "stuck" relay for the engine control unit, which would then always be on and consume power.
It is located in the auxiliary relay holder on the driver's side, under the dashboard, it has a metal casing, and usually has the relay number 300 printed on the top.
Part number: 89 7184 000.
Regards,
Mpire