While trying to avoid a delay; a Line Mechanic reports he overlooked adding the 'Bird Strike Inspection' he had just accomplished on the #2 engine of a B737-700; because he had focused on the '10-cycle flyback' logbook entry requirements.

Narrative

Aircraft arrived at the gate notifying Maintenance of a bird strike. Upon debriefing the crew; I was told by the Captain that a hawk was ingested in the #2 engine on takeoff. I was also told all parameters were normal; except for a slight odor in the cabin. I proceeded to inspect the entire aircraft per the 'Bird Strike Inspection' in the Maintenance Manual. Finding no damage other than feathers and pieces of the remaining bird in the #2 engine; I cleaned up the remains; then went up to the jetway to call Maintenance Control. I do not recall if I made the write-up in the book; or the Captain had; but in my haste to avoid a delay; I overlooked the Maintenance Manual reference to the 'Bird Strike Inspection' in my signoff; although I did complete one. Maintenance Control had told me to 'Maintenance Note' the #2 engine and to record on the logbook signoff that there would be a '10 Cycle Flyback' required per the Maintenance Note. Due to the fact of time constraints and my focusing on the '10 Cycle Flyback' statement; I inadvertently overlooked putting down that I had complied with the bird strike inspection.