How to Make It
Heat oven to 450° F. Toss the carrots, onions, garlic, and oregano with ¼ cup of the oil, ½ teaspoon salt, and ¼ teaspoon black pepper on a rimmed baking sheet. Roast, tossing once, until tender, 25 to 30 minutes; discard the oregano stems.
Meanwhile, mix together the coriander, cinnamon, cayenne, and ½ teaspoon salt in a small bowl.
Heat the remaining 2 teaspoons of oil in a large skillet over medium-high heat. Season the steak with the spice mixture. Cook, in 2 batches, until an instant-read thermometer inserted into the center of each steak registers 130º F, 2 to 3 minutes per side for medium-rare.
Serve the steak with the vegetables and sprinkle with the oregano leaves.