Heat gas grill on medium-high or charcoal grill until coals are ash white.
Sprinkle steaks with salt and pepper, as desired. Place steaks onto grill. Grill, turning occasionally, until steaks reach an internal temperature of 145°F (medium-rare) or desired doneness (8 to 10 minutes).
Meanwhile, combine all sauce ingredients in small bowl; mix well.
To serve, cut each steak in half. Place onto serving plates; spoon sauce over each steak piece.
The sauce can be made up to 1 day ahead. Store, covered, in the refrigerator. At serving time, warm sauce slightly in microwave.