This is the EASA logbook for recording experience, can be downloaded and printed,
CAP 741: Aircraft Maintenance Engineers Log Book | Publications | CAA
may be of help.
FAA info here on licences
Licenses & Certificates
He means although you are not certifying anything the experience you list needs to correspond to the workpack or log book entry for that task, so if you say put down spark plugs serviced 12 7 10... you would expect the work pack for the job in question to reflect that on that date, or the logbook entry..... that way it is checkable to ensure the work details you submit have substance...cannot see why if you are supervised that you cannot sign the work packs in the mechs slot as you are supervised with the LAE oversigning you as the inspector, if the FAA ones work like the EASA ones that is.