per 91.417 you need to have the following for each AD -
The current status of applicable airworthiness directives (AD) and safety directives including, for each, the method of compliance, the AD or safety directive number and revision date. If the AD or safety directive involves recurring action, the time and date when the next action is required. And from 43.9 the mechanic is required to provide -
So, if there is no AD listing showing the 91.417 requirements, and no log entry showing the 43.9 requirements, it never happened! As an IA, when you sign an annual you are responsible for everything that happened to that airplane since day 1. If you can't find documentation to prove an AD was complied with, then comply with the AD again!.
(1) A description (or reference to data acceptable to the Administrator) of work performed.
(2) The date of completion of the work performed.
(3) The name of the person performing the work if other than the person specified in paragraph (a)(4) of this section.
(4) If the work performed on the aircraft, airframe, aircraft engine, propeller, appliance, or component part has been performed satisfactorily, the signature, certificate number, and kind of certificate held by the person approving the work. The signature constitutes the approval for return to service only for the work performed.
(2) The date of completion of the work performed.
(3) The name of the person performing the work if other than the person specified in paragraph (a)(4) of this section.
(4) If the work performed on the aircraft, airframe, aircraft engine, propeller, appliance, or component part has been performed satisfactorily, the signature, certificate number, and kind of certificate held by the person approving the work. The signature constitutes the approval for return to service only for the work performed.
So, if there is no AD listing showing the 91.417 requirements, and no log entry showing the 43.9 requirements, it never happened! As an IA, when you sign an annual you are responsible for everything that happened to that airplane since day 1. If you can't find documentation to prove an AD was complied with, then comply with the AD again!.