Technician reported while completing the replacement of the B777 number 2 engine fire loop; they did not follow the AMM reference for the torque check and bonding meter check due to the FIM task not referencing the AMM for the removal of the fire loop.

Narrative

On Day 0 received turnover of aircraft XXXX from Day shift prior to beginning work at roughly XA:00; was informed to finish replacement of Engine 2 fire loop WXXXX from MXXXXX to MXXXXY. Received WDM (Wiring Diagram Manual) 26-XX-XX-X and referenced FIM (Fault Isolation Manual) 26-XX Task XXX from previous log page update. Ensured all clamps and attaching wires for WXXXX and shared clamps between WXXXY and WXXXXY were secured. Upon completion at 2000; performed AMM (Aircraft Maintenance Manual) 26-XX-XX-XXX-XXX Engine Fire Detection Operational Test; test did not pass and MEL message was still active; did not have enough ground time to perform further troubleshooting Aircraft was set to depart at XB:00. AMM reference 26-XX-XX-XXX-XXY for Engine Fire Detector Assembly Removal was not actively followed for the torque check and bonding meter check. FIM 26-XX Task XXX did not reference AMM 26-XX-XX-XXX-XXY for Engine Fire Detector Assembly Removal and only suggested the Amm 26-XX-XX-XXX-XXY for Engine Fire Detector Element Removal which did not apply to the maintenance being performed.Suggestion: More communicative updates with all relevant references for the job being performed; AMM verbiage better reflecting part being replaced to avoid confusion or misunderstanding; FIM referencing task that needs to be completed.