Combine juice, sugar, oil, Worcestershire and garlic in small bowl. Place beef steak and lime mixture in food-safe plastic bag; turn steak to coat. Close bag securely and marinate in refrigerator 6 hours or overnight; turning occasionally.
Remove steak from marinade; discard marinade. Place steak on grid over medium, ash-covered coals. Grill, covered, 10 to 11 minutes (over medium heat on preheated gas grill, times remain the same) for medium rare (145°F) doneness, turning occasionally. (Do not overcook.)
Carve steak into thin slices. Season with salt and pepper, as desired.
Nutrition information per serving: 205 Calories; 72 kcal Calories from fat; 8 g Total Fat; 2 g Saturated Fat; 3 g Monounsaturated Fat; 61 mg Cholesterol; 58 mg Sodium; 5 g Total Carbohydrate; 0.1 g Dietary Fiber; 27 g Protein; 2.5 mg Iron; 4.9 mg Niacin; 0.4 mg Vitamin B6; 1.5 mcg Vitamin B12; 4.7 mg Zinc; 31.2 mcg Selenium;