1. Heat grill to medium. In blender, puree cilantro, parsley, paprika, garlic, 1/2 cup oil, lemon zest and juice, and 1/4 teaspoon each salt and pepper. Transfer to small bowl.
2. In small bowl, combine cumin, coriander, and cinnamon with 1/4 teaspoon salt and 1/2 teaspoon pepper; rub all over steak. Rub carrots with remaining tablespoon oil and season with 1/4 teaspoon each salt and pepper.
3. Grill steak and carrots, covered, until carrots are tender and steak is medium-rare, 3 to 5 minutes per side. Transfer steak to cutting board and let rest 5 minutes before slicing.
4. Transfer carrots to platter, drizzle with 1/4 cup sauce, and sprinkle with feta and parsley. Serve with steak and remaining sauce.
Nutritional Information (per serving): 635 calories, 46g fat (11g saturated), 41g protein, 670mg sodium, 14g carbohydrate, and 5g fiber.