Heat olive oil in a large, heavy-bottom sauté pan.
Gently blot steaks dry with paper towels and then carefully place them in the hot pan.
Sauté both sides, about 2–3 minutes, until golden to dark brown.
Remove steaks from pan, and put them on a baking sheet to finish in the preheated oven for an additional 3–5 minutes or to your desired doneness (to a minimum internal temperature of 145º F).
To make the sauce, pour off any excess grease from the pan. Add mushrooms and sauté until lightly brown, about 3–4 minutes.
Lower the heat, and add shallot and garlic. Cook gently over low heat for about 2 minutes, until tender, but not brown.
Add tomatoes, tomato paste, and apple cider vinegar, and cook an additional 3 minutes.
In a bowl, mix beef broth and cornstarch.
Add broth mixture, parsley, and tarragon to the sauté pan. Bring to a boil on medium-high heat while stirring constantly. Lower the heat and simmer for 2–3 minutes. Season with salt and pepper.
Serve one steak with ½ cup sauce.
Nutrition (per serving):
Calories 200, Total fat 8 g, Saturated fat 2 g, Cholesterol 35 mg, Sodium 404 mg, Total fiber 2 g, Protein 23 g, Carbohydrates 10 g, Potassium 569 mg
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