Remove from the refrigerator and allow to come to room temperature, about 20 minutes.
Preheat the oven to 300 degrees F.
Place the wood chips in the bottom of the smoker and position the drip tray and wire rack over the top according to the manufacturer's instructions. Place the ribs on the wire rack and position the lid over the top of the smoker, leaving slightly ajar. Place the smoker over a high fire and heat until smoke begins to exit the smoker. Reposition the lid so that the smoker is completely covered and place the ribs in the oven. Bake for 1 1/2 hours, or until the ribs are cooked through and tender.
Remove from the oven and allow to cool slightly. Change the oven setting to broil and position an oven rack about 6 inches from the broiler. Line a baking sheet with aluminum foil.
Transfer the ribs to the baking sheet, meat side up, and brush the barbecue sauce evenly over the 2 portions of ribs. Broil the ribs until the sauce is bubbly and ribs are browned around the edges, 4 to 5 minutes, rotating sheet pan once after 2 minutes of cooking to ensure even browning. Remove from the heat and allow to cool slightly before cutting into individual ribs and serving.