Mince the garlic, shallot, and set aside; and then chop the time and set aside.
Salt and pepper the New York Strip steaks to taste. In a large ovenproof frying pan using 2 tablespoons of the oil cook the steaks on medium-high heat about 6 minutes on each side until golden brown. Move the skillet to the oven and continue cooking to desired doneness.
Remove the steaks from the frying pan to a serving platter and tent with aluminum foil to keep warm.
In the same skillet add the other tablespoon of vegetable oil if needed. Add the mushrooms to the skillet and season with a 1/4 teaspoon of salt, and 1/4 teaspoon pepper.
Cook on medium-high heat until mushrooms are tender. Stir in the shallot, thyme, and minced garlic; cook until fragrant.
Stir in the Marsala wine scraping any pan drippings from the bottom of the pan. Add the Worcestershire sauce and cook over medium-high heat until mixture is reduced to about 3/4’s of its original volume and then stir in the lemon juice. (Mixture may start to thicken a little bit be careful so you don’t scorch it.)