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.
Nutrition information per serving: 201 Calories; 72 kcal Calories from fat; 8 g Total Fat; 2.1 g Saturated Fat; 0.01 g Trans Fat; 2.2 g Polyunsaturated Fat; 2.7 g Monounsaturated Fat; 71.4 mg Cholesterol; 57.5 mg Sodium; 3.6 g Total Carbohydrate; 0.1 g Dietary Fiber; 27.2 g Protein; 2.5 mg Iron; 257.7 mg Potassium; 4.9 mg NE Niacin; 0.4 mg Vitamin B6; 1.5 mcg Vitamin B12; 4.7 mg Zinc; 31.2 mcg Selenium; 103.8 mg Choline;