Preheat the oven to 375°F (190°C).
Cook the bacon until crispy, then chop into small pieces.
In a bowl, mix the cream cheese, mozzarella, cooked bacon, garlic powder, black pepper, oregano, and salt.
Carefully butterfly each chicken breast, creating a pocket for stuffing.
Stuff each chicken breast with the filling, securing with toothpicks if necessary.
Heat olive oil in a large oven-safe skillet over medium-high heat.
Sear each stuffed chicken breast for about 4-5 minutes per side until golden brown.
Transfer the skillet to the preheated oven, and bake for 20-25 minutes until cooked through.
Remove from oven, let rest for a few minutes, and slice before serving.