Mashed potatoes: Boil the potatoes until soft, mash them, and mix with olive oil, yogurt, warm milk, salt, and pepper until creamy.
Pomegranate sauce: Sauté the onion in olive oil, deglaze with red wine, and let it reduce by half. Add stock, pomegranate juice, and mustard. Simmer until slightly thickened.
Steak: Pat the steaks dry. Heat a skillet over high heat with olive oil and sear the steaks for 3–4 minutes per side (for medium rare). Add garlic and thyme for flavor.
Rest the steaks for 5 minutes, then slice.
Serve with mashed potatoes, drizzle with the red wine–pomegranate sauce, and garnish with fresh pomegranate seeds.