Heat the oven: Preheat the oven to 425°F.
Brown the beef: Heat 1 tablespoon of the oil in a large oven-proof skillet over medium-high heat. Add the ground beef and cook until no longer pink, breaking up the meat as you stir, about 5 to 7 minutes. Drain off the fat and transfer the beef to a separate bowl.
Cook the vegetables: Heat the remaining 1 tablespoon of oil in the empty skillet over medium heat until shimmering. Add the mushrooms, carrots and onion and cook over medium-high heat until softened and slightly browned, about 5 to 7 minutes.
Add the paste and flour: Stir in the tomato paste and garlic and cook until fragrant, about 30 seconds. Stir in the flour and cook 1 minute more.
Make the gravy: Stir in the wine and cook until almost completely evaporated, about 2 minutes. Gradually add the broth and Worcestershire, scraping up any bits from the bottom of the pan. Bring to a boil, then reduce the heat and simmer gently until slightly thickened, about 3 to 4 minutes.
Finish the filling: Stir in the ground beef, frozen peas and thyme. Taste and season with salt and pepper.
Mix the biscuits: Use a fork to stir together the Bisquick, buttermilk, cheese and parsley just until a soft dough forms.
Top the filling: Use a large scoop to drop about ¼ cup of dough at a time onto the hot beef mixture. You should have 7 to 8 biscuits.
Bake: Bake uncovered for about 12 minutes, until the biscuits are golden and a toothpick inserted in the center of one comes out clean.
Brush and serve: Stir together the melted butter and garlic powder. Brush over the warm biscuits and serve.