The breakout board has a relay installed and uses the terminals labeled S, O and P. The following link explains the operation of this relay and how to connect the terminals:
You will run your power cord (use an extension cord rather than the actual power cord of the router) through the relay using the S, O and P. The P is a general connection and the S is normally closed (S and P is connected when the relay is not engaged) and O is normally open (O and p are not connected until the relay is engaged).
There are three wires in the power cord: neutral (white), live (black) and earth ground (green). You will run your neutral wire (white wire) through this terminal. At some point in the power cord, remove the outer insulator and expose the three wires within. Cut your neutral wire and strip both ends of the cut. Then insert one end in P and the other end in O (normally open), so Mach3 or other control software you are using will engage the relay and the router will turn on.
You will need to setup your control software to turn on the relay using Pin #16 as this is the digital signal pin that controls the relay.
Click the link to respond:
What do I need to do to my breakout board to turn the router motor on at the beginning of the program and off at the end?