Not familiar with that board but it looks like it is just some sort of brakout for both port 1 and 2 of the Smoothstepper. How to connect cant be really advised as it all depends on the hardware and how you set it up in Ports and Pins in Mach.
Basically you would need to connect the step and dir pins of each axis to the Breakout board and set the port and pin numbers up in Mach, same for E-Stop and any limits etc.
Pins 1-9 14, 16 and 17 are output pins so are used for connecting things like step/dir signals, coolant on etc. Pins 10-13 and 15 are inputs and are used for things like limits and E-Stop inputs.
Hood