Heat gas grill on medium or charcoal grill until coals are ash white.
Melt 2 tablespoons butter in 10-inch nonstick skillet over medium heat until sizzling; add onions and sugar. Continue cooking, stirring occasionally, 12-15 minutes or until onions are golden and caramelized. Remove from heat; keep warm.
Season steaks with salt and pepper, as desired. Place onto grill; grill, turning once, 13-15 minutes or until internal temperature reaches 145°F (medium-rare) or desired doneness. Keep warm.
Melt 1 teaspoon butter in same 10-inch skillet over medium heat; break eggs into pan. Cook about 1 minute or until eggs are set on bottom. Cover pan; continue cooking about 2 minutes or until whites are set and yolk is cooked.
Top each steak with onions and 1 fried egg. Serve immediately.
- Let steaks stand at room temperature about 30 minutes before cooking.
- To broil steaks, heat broiler on high. Spray broiler pan with cooking spray. Broil steaks, turning once, 13-15 minutes or until internal temperature reaches 145°F (medium-rare) or desired doneness.
- Sprinkle steaks with blue cheese crumbles, if desired.