Prepare the Ribs: Remove the silver skin from the pork rib racks and pat them dry. Leave the rack whole or cut it into 2 to 3 rib portions. Combine the paprika, chili powder, salt, cumin, black pepper, and cayenne pepper. Rub the mixture over the ribs.
Prepare the Pressure Cooker: Place a trivet in the Instant Pot and add the apple juice, vinegar, and Worcestershire sauce. Stack the ribs on the trivet or roll the whole rack and stand it on the trivet.
Pressure Cook: Lock the lid in place and turn the steam release valve (black venting knob) to the sealing position. Select the manual button, high pressure, and set the timer for 25 minutes. When the time is up, let the pressure release naturally for 12 minutes, then carefully turn the valve to the venting position to release the remaining pressure.
Broil: Preheat the broiler and line a large baking pan with foil. Arrange the ribs on the baking pan, meaty side up, and brush with barbecue sauce. Broil the pork ribs for about 3 to 4 minutes.
Serve: Cut the ribs into serving-size pieces and serve with extra BBQ sauce on the side.