In your aircraft, are there definite indicators that the reverser has deployed,
I can only go by what happens when in- flight thrust reversal is actuated via the instructor panel under the main title of engine malfunctions. And that is the noise caused by the thrust reversal is quite unmistakeable just as you would expect when high reverse is used normally on the landing roll. In the 737 Classic simulator there is very little roll and yaw when the malfunction is initiated but that could be a fidelity issue. In fact it is easily controllable by the average pilot (if there is such an animal)
Basically it says to reduce thrust (Idle), Reduce Airspeed, Shut the engine down, control the aircraft with full rudder trim and sufficient bank to maintain heading.
I don't understand the "full rudder trim" point. What aircraft type are you referring to? Depending on the type of rudder trim but certainly in the 737 Classic it takes 29 seconds to operate the electrical rudder trim from neutral to against its stop in one direction and alone would be useless in terms of controlling yaw. Presumably considerable rudder would be required similar to engine failure in combination of aileron and flight spoilers if needed. Rudder trim would only be needed for subsequent prolonged cruise to reduce leg forces