Preheat oven to 375 degrees F.
Melt butter in a Dutch oven or soup pot. Add the carrots, celery, and onion. Cook 3-4 minutes.
Add in the garlic and cook 1 minute. Stir in the flour then slowly add in the chicken broth.
Turn the heat to medium-high and bring to a simmer. Reduce heat and simmer for 10 minutes.
Use a small cookie cutter to cut shapes out of the dough. Add the dough to a baking sheet and bake 7-9 minutes.
Add in the chicken, vegetables, and milk. Cook 5 minutes or until the vegetables are heated through. Taste the soup then add in salt and pepper.
Top each bowl with 1-2 pieces of the pie crust pieces.