Cook onion and carrot in olive oil 4 minutes. Add garlic 30 seconds. Brown ground beef, drain excess fat.
Stir in tomato paste, cook 1 minute. Add Worcestershire, broth, thyme, paprika, salt, and pepper. Simmer briefly.
Add cornstarch slurry and stir 1 to 2 minutes until filling thickens to a paste. Cool at least 20 minutes.
Preheat oven to 400°F. Grease muffin tin. Cut 12 large circles (4 inch) and 12 small circles (3 inch) from pastry sheets.
Press large circles into muffin cups. Fill with cooled beef filling. Top with small circles and seal edges with a fork.
Brush with egg wash. Cut a small slit in each lid. Bake 18 to 22 minutes until deep golden. Cool 5 minutes before lifting out.