You don't REALLY have to move the levers to reverse at 60% RPM, you can move them to reverse before you move the RCS (Run-Crank-Stop) switches to the STOP position.
To shut down, after the plane is stopped, simply pull your power levers back to some position between the ground idle and reverse (or full reverse just to be sure) and then you can move the RCS switches to STOP. That's the way its generally done by pilots. The checklist wording was taken from official documentation, which is not always worded the best.
In the example below, the left engine closest to the camera was shut down correctly, the right one was not and the prop feathered on shutdown. The right unfeather pump would have to be used to unfeather that propeller before attempting to start that engine.
TK