Issue reconnecting a cable shown in video

At 40:28 of this video—(https://youtu.be/VUJ06Yy-ls0) this person put there finger on black tape that hides where the orange cable connects. How do I reattach the cable to what's underneath the tape inside the round housing? On my computer, inside there, I only see a small hole with nowhere specific to attach that, or any, cable. If this something anyone here has familiarity with that I'd be very thankful if someone helped me out.