For fixing the "deep sleep" issue, feel for the cup that has a flexible ring (capacitive sensor) around the face-side of the cushion. It should be the right cup.

Grip the hard outer shell of the ear cup you want to disassemble.

Completely cover the soft padding area with your other hand, squeeze to grip, and twist like opening a jar.

Twist the left cup clockwise to open, and turn the right cup counter-clockwise to open.