Preheat the oven to 425°F.
Peel, core, and thinly slice apples. Place them in a large bowl. Sprinkle the cinnamon onto the apples and stir to cover.
In a medium saucepan, melt butter then stir in flour. Add and mix in white sugar, brown sugar, and water. Bring to a boil then lower heat and allow to simmer for 3 minutes. Stir in lemon juice.
Pour pie sauce over your sliced, cinnamon apples and use a wooden spoon or spatula to thoroughly incorporate and coat each apple. The sauce will thin out as you stir from the juices from each apple and will trickle down to the bottom of the bowl so make sure to stir well.
Place your bottom crust into your pie pan and gently pour the apple pie filling into the pie crust and even spread out.
Place the top crust on and trim excess crust if you have any. Pinch all around the edges to seal the top and bottom crust to each other. Cut slits or leaf shapes into the center of the crust to allow steam to escape.
Brush the crust with milk. Use tin foil to cover the edges of the pie.
Place your pie on the center rack and bake for 50 minutes or until the crust is golden.
Allow the pie to cool for a full hour (or even better, overnight) before cutting.