Perhaps adding the engine auxiliaries (generator/s and pump/s) to the detailed engine status display might be helpful? If everything on one engine is orange, you don't want to shut down the other engine, at least not without getting the APU running first (depending on aircraft architecture).
I wonder if you could get a general 'engine health' or 'maximum predicted available thrust' rating out of the FADEC. Display it on the N1/EPR dials post engine malfunction.
On detection of high cockpit vibration, swap the engine display to a large-text large-dial version, in the same way that fire/smoke procedures are printed in large text for easy visibility. New aircraft with massive displays mean you can probably seize display area from lower-priority displays (subject to an override back to normal mode) to get easier-to-read information.