Heat olive oil in a medium skillet over medium heat.
Add ground beef and cook until no longer pink, breaking it apart with a wooden spoon.
Add onion and garlic; sauté until onion becomes soft and translucent.
Stir in oregano, cumin, smoked paprika, chili powder, salt, and pepper.
Add beef broth, brown sugar, and hot sauce; mix to combine.
Cook for 2–3 more minutes, then remove from heat.
Allow the meat mixture to cool to room temperature.
Preheat oven to 425°F (220°C).
Roll out one puff pastry sheet at a time to fit six 4-inch circles.
Cut six circles from each sheet using a cutter or bowl.
Place about 1 tablespoon of beef filling in the center of each circle.
Brush half of each circle’s edge with egg wash.
Fold pastry over to form a half-moon shape.
Press edges together with fingers to seal.
Use a fork to crimp the edges firmly.
Transfer empanadas to a baking sheet.
Repeat with remaining pastry and filling.
Prick each empanada with a fork to vent steam.
Brush tops with egg wash.
Bake for 20–25 minutes, or until golden brown.
Serve warm with salsa or salsa verde.