Heat a large grill pan over medium-high heat. Coat pan with cooking spray. sprinkle steak evenly with pepper and salt. Add steak to pan; cook 6 minutes each side or until desired degree of doneness. Remove steak from pan; let stand 5 minutes. Cut steak diagonally across grain into thin slices.
Combine juice and next 5 ingredients (through Sriracha) in a small bowl; stir with a whisk.
Combine cabbage and remaining ingredients in a medium bowl. Add 6 tablespoons juice mixture to cabbbage mixture; toss well. Toss steak in remaining 2 tablespoons juice mixture. Add steak to cabbage mixture; toss to combine.