Combine cranberries, orange juice, lime juice, garlic, cilantro, salt, cumin, oregano and crushed red pepper in a saucepan and bring to a boil. Reduce heat, continue to cook until all cranberries burst. Remove from heat and cool completely. Add cranberry citrus marinade to large ziplock bag, add rib-eyes, seal bag and turn to coat with marinade. Let stand at room temperature for 15 minutes.

Preheat a gas grill to high. Oil grill. Remove steak from bag, discarding excess marinade. Grill steak to desired doneness, about 3-5 minutes per side for medium-rare. Transfer steak to a cutting board and allow to stand for 5 minutes before slicing and serving