Fault 01177 a6 c5 v8 not starting

Hi I all, I had flat batery due to I forgot to turn off dash cam for a week or so. A6 C5 4.2 220kw. Started it on cables from another car, its started ok. Went some distance, then came back home, shut down engine, and went home. Nextday car didnt start as the battery didnt charged enough due to been flat and short drive distance. I had charged another batery , installed it, and the engine is turning over but wont start, no sound from fuel pump. I called for man who is working with the car keys as I have found two faults with delphi diagnostic
01176 key faulty unauthorized intermittent
01177 defect control unit no communication pemanent.

He checked the key and the cars imobilaizer and said that the key is working ok, same with imobilaizer, there is no isuess with both of them.

He advised me to call for car electric to check the situation.

Any advise? maybe somebody else been in situation like this? As well car have LPG system installed on it. What I can check mysel before I sent it to electric ? Car had engine rebuild not long time ago, maybe there coulbe short mass cable or something I need to check, as electric told that it could be expensive fix. I have a garage with lifter , rebuilded engine myself not long ago, so just want check may its possible to fix it by myself, and avoid to spend much money. Thanks

Sometime ago, my battery was flat due to listening music and cold weather and etc. But hadnt been any issues when jumping car with cables…

Car model A6 C5 avant. 4.2 220kw