Toss the chicken wings in a bowl with olive oil, garlic powder, and a pinch of salt until every piece is coated. Spread them out in a single layer on a baking sheet so they crisp up instead of steaming. Bake at 400°F for about 30 minutes, flipping halfway through for even browning.
Once the wings are nearly done, pull the tray out and brush them generously with BBQ sauce. Slide the tray back in for another 5 minutes so the sauce gets sticky and slightly caramelized. This last step is what gives the wings that glossy, finger-licking finish.
While the wings bake, shape the ground turkey or beef into small, flat patties sized to match your dinner rolls. Pan-fry them over medium heat for a few minutes per side until fully cooked through. Keep them slightly thinner than a regular burger patty so they cook fast and fit neatly in the bun.
Slice the dinner rolls in half and lay the bottoms out on a tray. Place a cooked patty on each one and sprinkle shredded cheddar on top. Pop them under the broiler or in a hot oven for about 3 minutes, just long enough for the cheese to melt.
Add a slice of tomato or a couple of pickle slices onto each melted-cheese patty. Close each slider with its roll top so the flavors stay tucked inside. Repeat until all the patties are turned into finished sliders.
Place the wings in the center of a large serving tray as the centerpiece. Circle the sliders around them so guests can grab either one easily. Tuck in carrot and celery sticks along the edges for color and crunch.