1.In large shallow bowl, combine marinade ingredients; whisk until blended. Remove and reserve 1/2 cup for basting. Trim fat from beef steak; cut into 1-1/2-inch cubes. Add beef to remaining marinade in bowl; toss to coat. Cover and marinate in refrigerator 20 minutes.
2.Remove beef from marinade; discard marinade. Alternately thread an equal amount of beef and green onion pieces onto each of four 12-inch metal skewers.
3.Place skewers on grid over medium, ash-covered coals. Grill, uncovered, 10 to 12 minutes for medium rare (145°F) to medium (160°F) doneness, basting frequently with reserved 1/2 cup marinade and turning occasionally. Serve immediately.