In large bowl, whisk together cola, garlic, soy sauce, mustard, sesame oil, ginger and cayenne. Place wings in 2 large zip-top plastic bags; pour half of the cola mixture into each bag over wings. Seal bags and refrigerate 2 hours to marinate.
Place rimmed baking pan in oven; preheat oven to 400°. Drain wings and reserve marinade. Carefully add oil to baking pan and swirl to coat bottom of pan. Place wings in single layer on baking pan and bake 15 minutes. Toss wings with reserved marinade
Transfer wings to separate rimmed baking pan and keep warm in oven. Transfer remaining liquid in baking pan to small saucepot and cook over high heat 10 minutes or until mixture is slightly thickened. In small bowl, whisk together water and cornstarch; ad
Transfer wings to large serving bowl and toss with sauce. Sprinkle wings with green onions and sesame seeds. Serve with celery sticks, if desired.