I see what appear to be four motor connections (the screw terminals), one for each wire. What I don't see are two HEAVY DUTY power connectors. Where is the data sheet for this module?
Edit: from the data sheet for the power IC, it appears that this module is two half bridges. You need two of them for one stepper. But see the next line.
That is probably not the right driver for your motor, because it appears not have automatic current control. You could easily burn up the motor or damage the motor power supply.
I would use the Pololu 8825 driver and set the current limit to something reasonable (try 1.5 amps/winding).
If you need the full allowed 2 amps/winding, buy a proper industrial stepper driver, e.g. from Gecko.
I agree with @jremington that that does not seem to a suitable driver. I reckon it is really for DC motors.
However your stepper motor requires 2 amps and I think a Pololu DRV8825 would be too near its limit which is only 2.2amps IIRC. I would feel happier with a stepper driver that could provide 3 or 4 amps but they will be considerably dearer.
I don't know whether your project needs all the torque from that motor. Maybe you could use an DRV8825 with the current limited to 1.7 amps or so. Or maybe you could choose a different motor that only draws, say, 1.7 amps.
Stepper motors perform much better with high voltage power supplies and without the ability to limit the current to protect the motor you cannot use a high voltage supply.
But you will need active cooling for the DRV8825 when operating the driver at 1.7A.
Even at 1.0A the chip is already getting really hot if no cooling is applied.
That driver is alas no use for a low-impedance bipolar stepper, the motor needs a chopper driver
(current drive, not voltage drive). Something like a leadshine cheap stepper drive might be the
best option for 2A, its would push a DRV8825 too hard (although agressive cooling might work)
[ For completeness: any stepper with less than 10 ohms winding resistance is really needing
current drive (typical low impedance motors are 3 to 0.3 ohms). High impedance steppers are
usually around 30 to 50 ohms and can be voltage driven from 12V, but will go much slower
than a low-impedance motor properly driven. ]