Preheat your oven to 425°F. Lightly grease a muffin pan with nonstick cooking spray.
In a large bowl, mix the diced apples, brown sugar, granulated sugar, flour, cinnamon, and lemon juice until the apples are evenly coated. Set this aside.
Roll out the pie dough on a clean surface until it's about 1/8-inch thick and approximately 11 inches in diameter. Use a large biscuit cutter or a round cookie cutter (about 3 1/2 inches in diameter) to cut out 12 circles of dough. Save the dough scraps for the lattice topping; you'll have just the right amount left.
Press the dough circles into each muffin tin, ensuring they cover the bottom and sides.
Divide the apple mixture equally among the pies, piling them up, as they will shrink during baking.
Roll out the remaining pie dough and cut it into small strips slightly longer than the pie's diameter. Create a lattice crust on top of the apple filling and gently press the strip edges to secure.
Bake the pies for 20 minutes, until the crust is golden and the filling is bubbly.
Let the pies cool for around 10-15 minutes, then use a butter knife to release them from the muffin tin and transfer them to a wire rack or serving dish.
Serve the mini apple pies warm or at room temperature, with ice cream, whipped cream, or caramel sauce.