Heat olive oil in a large, heavy-bottom sauté pan.
3
Gently blot steaks dry with paper towels and then carefully place them in the hot pan.
4
Sauté both sides, about 2–3 minutes, until golden to dark brown.
5
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).
6
To make the sauce, pour off any excess grease from the pan. Add mushrooms and sauté until lightly brown, about 3–4 minutes.
7
Lower the heat, and add shallot and garlic. Cook gently over low heat for about 2 minutes, until tender, but not brown.
8
Add tomatoes, tomato paste, and apple cider vinegar, and cook an additional 3 minutes.
9
In a bowl, mix beef broth and cornstarch.
10
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.