Use sync mode.
Hahaha, no. Your controller has nothing to do with beatmatching to begin with.
Next up, the type of music you use will be a big helper. Start with some good ol generic house (even if you don't like it) music as it's almost all 4/4 and the kick which is easiest to hear is what is keeping time, and not the snare/clap like in hip hop.
So load a track into A, and then another on to B and somewhere in whatever software you are using it will more than likely say something like 128 BPM which means beats per minute. You want these two numbers to be the same, and this is accomplished by adjusting your pitch faders. After you have your two numbers the same, start track A. Every time you hear the kick (sounds like a kick drum), tap your foot. This is the tempo of the song, and generally won't change through the duration of the track. Even when the kick goes away, tap your foot to the same tempo to get used to it. Do this over and over and over again until you can do it in your head. After you nail that, and you can figure out the tempo, you're gonna need to start counting. 4/4 time signature means that there is 4 beats in each measure, and 4 measures in each bar (4beats/4measures). So count as you tap your foot, 1 2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 etc. Eventually you'll need to count which bar your in, but that's called phrase matching and you can google that.
When you've got this all down, then you're almost ready. For your controller, I can assume you can make cue points on atleast one button. On both tracks your going to use, on the very first kick of the song that's going to mark the tempo, put in a cue point smack dab at the start of it (you can google a picture of proper cue point placement). Then get your song started on deck A. Now while deck A is playing, start track B and use your cue point button and push it every time you hear the beat of deck A. If you've done it right, when you let track B continue to play then congratulations! You've beatmatched!! After practicing using the cue button method and getting the basic concept, then you can play with the jogwheels and do all the fancy unnecessary stuff. If while you're playing the song they slowly track off beat, then you'll need to adjust one or the other with your pitch faders to slow or speed one up in very very small increments (or big depending on how badly it's screwed up).
I hope all this makes things a little more clear. It get's much funner and creative after this, but it's the back bone of mixing and until you learn the basic concept, you can't do much anything else. And you're not doing this in a club, so you don't need your fancy headphones to cue things in or anything like that. Just practice practice practice!