Preheat grill to medium-high heat, aiming for steady heat across the grates (about 375–450°F). Keep the lid closed between steps to maintain temperature.

In a mixing bowl, combine ground turkey and BBQ sauce with smoked paprika, garlic powder, onion powder, salt, and black pepper. Add Worcestershire sauce and mix gently just until evenly combined (no overworking).

Form the mixture into 4 burger patties, keeping them slightly wider than the buns because they will shrink a little as they cook. Make the centers level so the burgers cook evenly.

Place patties on the grill and cook 5–6 minutes per side over medium-high heat. Cook until grill-marked and cooked through, flipping once for best texture.

Brush patties with additional BBQ sauce during the final minutes of grilling. Look for a glossy, slightly caramelized surface as the sauce heats.

Add cheddar cheese slices during the last cooking moments and allow them to melt over the hot patties. Keep the lid down briefly to speed melting.

Toast the brioche burger buns lightly on the grill until warmed and lightly golden. Watch for quick browning at the edges.

Assemble burgers with lettuce, tomato, red onion slices, and the turkey patties. Finish with a drizzle of extra BBQ sauce and serve immediately while hot.