Preheat your oven to 375°F (190°C).
In a large pot, brown the cubed beef over medium heat.
Add the chopped onion and garlic; sauté until translucent.
Sprinkle flour over the mixture and stir for 1 minute.
Pour in the beef broth and bring to a simmer.
Add diced carrots, peas, thyme, salt, and pepper; cook until tender.
Remove from heat and let the filling cool slightly.
Roll out one pie crust and place it in a pie dish.
Pour the beef filling into the crust, spreading evenly.
Cover with the second pie crust, sealing the edges and cutting slits for steam.
Bake for 30-35 minutes until golden brown.