In the service manual, there are instructions for a"protection cancel" function which will allow a technician to troubleshoot at his leisure. This function is not available when the protection issue relates to high current, like shorted outputs or a shorted main bridge rectifier of main filter cap, but your issue is none of these.
To start with, while in Protection Cancel mode, you should be able to measure DC offset at any of the individual amp channels, measuring from the bias test points, or the emitters of the output transistors to chassis ground. If only one channel has a DC offset, obviously that channel needs repair. If all channels have an offset - it likely points to a power supply issue - probably a bad voltage regulator or some bias voltage source. There are several test points in every Yamaha which relate to the various protection functions. They are labelled DCPRT, IPRT, PS1PRT, etc. Most of these are connected to a resistor summing network, the output of which (the associated test points) will give definitive indication of which one has been triggering the protection function. Generally the output should be zero volts, or close to it. When there is a failure, the voltage sum is high or low, triggering the protect. In any case the service manual shows the specified voltages in the schematics.
In the diagnostics area of the service manual these readings get trickier because the protection history value shown on the display must be multiplied by X/255 where X is either 3.3 or 5 volts (usually 3.3 on newer units) to get the approximate voltage that has triggered the Protect. The manual gives a range of acceptable voltage, anything outside this range triggers the protect.
Why they don't just have the microprocessor just report the actual voltage directly, I don't know. Maybe a little extra code required, who knows? Yamaha just does it this way.
By the way - they aren't "mosfets" - it uses bipolar transistors. (sheesh)