Prepare spice rub by combining baking powder, salt, garlic powder, and onion powder, cumin, paprika, cayenne, black pepper, oregano, and thyme in a small bowl. Mix until thoroughly combined.

Place wings in a large bowl and toss in 3 tablespoons spice rub. Toss wings with tongs until thoroughly and evenly coated. Transfer to a baking rack set over a parchment-lined sheet pan. Sprinkle a little more spice rub over each wing and let sit for 15 minutes.

Preheat the oven to 425 degrees F (220 degrees C).

Prepare remoulade sauce by crushing capers in a mixing bowl with the back of a fork. Add mayonnaise, Dijon, Worcestershire sauce, hot sauce, cayenne, paprika, garlic, green onion, parsley, and lemon juice; whisk to combine. Taste and add salt if needed. Cover and refrigerate until needed.

Bake wings in the center of the preheated oven for 20 minutes. Flip and continue to bake until beautifully browned, no longer pink at the bone, and the juices run clear, 20 to 25 minutes longer. An instant-read thermometer inserted near the bone should read 165 degrees F (74 degrees C).

Serve with remoulade sauce.