Mushroom Bourguignon

Name: Mushroom Bourguignon
Ingredients: 2 tablespoons canola oil; 2lb cremini mushrooms (sliced); 1 Medium carrot (diced); 1 Small onion (diced); 2 cloves garlic (minced); 1 teaspoon fresh thyme leaves (or 1/2 tsp dried); 1 cup red wine; 1/2 teaspoon salt; 1/4 teaspoon fresh ground black pepper; 2 cups low sodium beef broth; 2 tablespoons tomato paste; 2 cups pearl onions (peeled); 1 tablespoon butter (softened); 1.5 tablespoons all purpose flour; more salt and fresh ground pepper (to taste); parsley and sour cream/greek yogurt for garnish