The top set connects to the tweeters; the lower to the woofers. You could run what's called a bi-wire cable (Generic Amazon set here) from your amp to the speakers after you remove the jumper cables. Opinions are divided as to whether biwiring makes a palpable sonic difference, though much more learned minds than me can weigh in on this.
I would suggest running your normal speaker cable into the lows only because woofers are tough to drive. So.etimes I'll run one wire into the red upper and one I to the black lower. Sonic difference? Don't know.