Heat oven to 400°F. Line 2 (13x9-inch) shallow baking pans with wire cooling racks.
Rinse chicken wings under cold water; pat dry with paper towels. Place wings in medium bowl.
Remove 2 tablespoons seasoning mix from package; set aside. Add oil and remaining seasoning mix to chicken; toss well. Place seasoned wings skin side up on racks in pans.
Bake 25 minutes. Meanwhile, in small bowl, stir together hot sauce, oil, lime juice and reserved 2 tablespoons seasoning mix; beat with whisk until smooth. Set aside.
Remove pans from oven. Turn wings over; bake 15 minutes longer.
Using pastry brush, brush hot sauce mixture on both sides of wings. Bake an additional 10 minutes. Serve immediately.