Preheat the oven to 375°F (190°C).

In a large skillet, cook the ground beef over medium heat until browned. Add the diced onion, carrots, and garlic, and cook until the vegetables are tender.

Stir in the tomato paste and flour, then gradually add the beef broth while stirring constantly. Cook until the mixture thickens slightly. Season with salt and pepper to taste.

Stir in the frozen peas and simmer for a few more minutes. Remove from heat and let it cool slightly.

Roll out the pastry dough and line a pie dish with the bottom crust. Pour the beef mixture into the pie dish.

Cover the pie with the top crust, seal the edges, and cut slits on top to allow steam to escape.

Bake in the preheated oven for about 30-35 minutes, or until the crust is golden brown and the filling is bubbly.

Let the Beef Pie cool slightly before serving. Enjoy!