Preheat the oven to 375 degrees.
Peel and thinly slice apples into quarter-sized or larger pieces.
Place apples in a medium bowl and add remaining ingredients (sugars, lemon juice, flour). Use a spatula or wooden spoon to mix well.
Place the filling over the dough-lined pan and evenly spread it throughout.
Roll out the remaining dough into a rectangle shape (~½ cm thick) and carefully place it over the apple filling.
Leave an excess of ~1-inch of pie crust around the edge of the pan, trim off the rest.
Pinch the edges together and use your finger to crimp the edges, if desired.
Use a kitchen shears or knife to cut 6-8 holes throughout the top of the crust.
Bake for 50-60 minutes, or until the top and edges are browned and the apples are soft & bubbling.
Remove from the oven and let cool to room temperature.