To make the dry rub: In a small bowl combine the brown sugar, garlic powder, onion powder, smoked paprika, oregano, thyme, ground mustard, cayenne, salt, and pepper. Mix well.
Spread the rub evenly over the entire ribs, pressing gently to help it stay on. Let this sit for 10 minutes.
Place the trivet in the instant pot and coil the ribs in a standing position around the sides. Add the apple cider to the bottom of the pot.
Secure the lid and set the vent to SEALING. Select the PRESSURE COOK/MANUAL setting and set the cooking time for 23 minutes at high pressure. The Instant Pot will take around 10 minutes to come to pressure and start cooking. When the cooking program ends, allow the pressure to naturally release for 5 minutes then quickly release the rest of the steam.
Preheat the broiler for 500°F (260°C).
Place the ribs on a parchment-lined sheet pan, and brush the ribs with a generous amount of barbecue sauce.
Place close to the broiler and cook for 5 minutes. The barbeque sauce should be nice and bubbly. You may need an additional minute or two. Watch carefully so you don’t burn the ribs.
Remove from the oven and brush with additional barbecue sauce before serving.