For what it's worth, here's my understanding of how the setup works:
The IO Linc senses whether the door is closed via the magnetic contact switch. Watch the glowing green light to know if it's sensing.
The IO Linc duplicates the push button function of the button on your wall. The push button simply closes the circuit. When that is done, the garage door motor reverses, so if the door is closed, the door opens and vice versa.
Where my setup differs from your diagram is that I have the IOLinc mounted up on the ceiling of the garage right near the garage door motor. It plugs into one of the receptacles and the motor into the other. So, the IO Linc is right next to the motor. I run the NO and COM wires to the two screws on the back of the motor (in my case) where the push button wires attach. When the IO Linc is fired, the NO and COM wires become closed and the motor engages. I also have my magnetic contact sensor at the top of the door, not at the bottom. Both these differences make wiring much easier than running wires all the way over to the side of the garage where the pushbutton is located.
My suggestion: look on the side of the motor where the wires from the pushbutton attach and short them. The door should respond. Then, attach the IO Linc to the same wires. If you IO link is behaving normally it will open/close the door when attached and enabled. I've copied the relevant section from the Genie SilentMax manual; the sensors occupy spaces 1 and 2 of the harness, and the pushbutton wires occupy spaces 3 and 4. Here's the URL for the PDF:
http://www.geniecompany.com/data/produc ... Models.pdfRe the ohm meter, it should be 1000K+ when the IO linc is not engaged, and fall to 0 when engaged.