1.Combine all ingredients in small saucepan, stirring until sugar is dissolved. Remove 1 cup to use as marinade. Bring remaining marinade to a boil. Reduce heat; simmer 10 to 15 minutes or until desired sauce consistency is reached, stirring occasionally. Set aside until ready to use as Sauce.
2.Place beef steak(s) and 1 cup marinade in food-safe plastic bag; turn steak(s) to coat. Close bag securely and marinate in refrigerator 15 minutes to 2 hours for tender steaks; 6 hours or as long as overnight for less tender steaks, turning occasionally.
3.Remove steak(s) from bag; discard marinade. Place steak(s) on grid over medium, ash-covered coals or over medium heat on preheated gas grill. Grill according to the chart for medium rare (145°F) to medium (160°F) doneness, turning occasionally.