As you can see, it has 2 of each terminal. The supplied wiring diagram only shows one being used. I have two identical 24v strips that I want to dim together - can I just wire them both in?
The picture is a bit blurry regarding the specs of the controller, but it looks like it has an Output spec of 12A. So as long as you keep your overall load below that, it should be OK.
12 A x 24 V is 288 W. I don't know what your project is but a quick Google search indicates that these strips consume far less than that unless you are going hundreds of feet.