Place the basil, oil, mint, marjoram, vinegar, anchovy paste, rosemary, salt, pepper, garlic, lemon juice and onion in the bowl of a food processor. Blend until chunky.
Let the mixture stand for 20 minutes.
Heat the oil in a large skillet over medium-high heat.
Sprinkle the chops with the salt and pepper. Cook to medium rare, 10 to 12 minutes, turning the chops over halfway through the cooking time.