Add your beef to a medium pan and cook for about 3-4 minutes until the beef is almost cooked through. Next, add in the vegetables and mix well. Cook these for about 3 minutes.
Sprinkle the flour over the mixture and cook this in, stirring frequently for another 2-3 minutes. Then add the broth, mix well, and let this cook until it has thickened. Check for seaosning. Depending on how salty your broth is, you might need to add salt.
Remove from heat and allow this mixture to cool slightly. This can even be made ahead of time- like 3 days ahead of time. Store in the fridge in an airtight container.
When you are ready, preheat the oven to 400 degrees. Roll your pie dough to about ⅛ inch. If you are using the mini pie pans, cut a circle that is about 5-6 inches and press gently into the pan. Cut 6 of these and 3-inch circles for the top.
If you are using the muffin pan, cut a 6, 4-inch circle. Then cut 6, 2 ½-inch circles. Press gently into space. Now,
Whatever size you used, fill the cavity with the beef filling. Top with the smaller circles and press the sides closed if you like.
Make your egg wash and brush the pies with the egg wash. I like to put these on a baking sheet in case they spill over.
Bake for about 20-25 minutes until they are a beautiful golden brown.
Remove from oven and they are ready to go. These can be served hot or cooled slightly. You cannot go wrong with these!