A Flight Mechanic was informed by his Air Carrier Management that he may have violated company procedures by not motoring the CFM-56 engines to verify correct oil quantity levels on a B737-800 aircraft prior to a ferry flight. The oil quantities for both engines had not been checked at the previous shutdown. Fatigue; driven by days of continuous long duty hours; was also noted.

Narrative

I was picking up an aircraft that was sitting approximately 29 hours on the ground. I was briefed that a partial [Maintenance] preflight inspection was done; but not completed. I reviewed the paperwork left for me to see what still needed to be done. Our preflight inspection is required to be done every 72 hours. I completed what needed to be done; however the engine oils were not serviced at shutdown. The engine oil quantity [indications] were approximately 13 and 14; which is above minimum dispatch levels per the aircraft maintenance manual (AMM).I signed-off on our preflight inspection form that no oils were added at this time and noted in the aircraft logbook. The aircraft had been sitting and the outside air temperature (OAT) was around 45 deg F. I decided to oil the engines after our flight; which was a ferry flight approximately one hour to ZZZ. We completed our flight to ZZZ and I oiled the engines as required and verified [oil] caps secured and this was entered into the aircraft logbook with quantity added. My company feels that I have a violation and I need to report it to the FAA as to how I handled the situation. I am actually a little confused over the situation as to at no time was the aircraft unsafe or anything not recorded in the aircraft logbook. I do think my company needs better training and needs to not schedule the flight mechanics 15 to 21 hours a day and sometimes more for 14 days straight.