Preheat a grill pan or indoor/outdoor grill to high.
For the first sauce, place all the herbs and garlic in food processor and pulse-chop to a fine mince. Scrape into a small bowl. Season with salt and pepper. Stir in vinegar and extra-virgin olive oil and let stand.
Heat a small pot with extra-virgin olive oil over medium heat. Add onions and cook 5 minutes. Add brown sugar and cook 1 minute. Add hot sauce, Worcestershire pepper and tomato sauce. Simmer 2 to 3 minutes. Remove from heat and transfer to a small bowl.
Let steaks rest a bit to take the chill off. Drizzle extra-virgin olive oil over the steaks and season them lightly with steak seasoning. Grill meat on screaming hot grill 3 to 4 minutes on side one, 2 to 3 on side 2 for medium rare doneness. Go a minute longer on each side for medium to medium well doneness.