Maintenance Control Technician reported misapplying an MEL due to confusion between B737 and A320 aircraft. The aircraft was taken out of service to address the issue.

Narrative

I was working Overtime on the 737 desk. My normal desk is the Airbus desk. I received a call from Maintenance that they had received a call out for Logbook Deferral Sheet (List). The previous technician working the issue sent the procedure for a check to try and identify the fault. The mechanic informed me that it had failed. Upon looking at the MELS I came across XX-XXA which was for the Inertial Reference System. I asked the flight crew to perform the maintenance procedures and they said everything passed and they were good with it. Once the aircraft was at ZZZ the outbound flight crew had an issue with the MEL. Upon further investigation and some extra knowledge passed from some other technicians on the 737 desk; it was explained to me that MEL XX-XXA does not cover the portion of the ADIRU (only the IRU). The aircraft was immediately taken Aircraft Out of Service in ZZZ and a lock placed on the aircraft to prevent departure. As an Airbus technician I misread the MEL. I thought it included the entire ADIRU just like on the Airbus in certain cases. REF Airbus MEL XX-XYC. I know that is not an excuse but ultimately it lead to my decision making in this case. Asking for help when needed and carefully reading the MEL to verify that it can be correctly applied.