In a large bowl, mix together the flour, salt, chilled shortening and chilled butter and mix together with your fingers. Keep mixing with your finger until the flour is about pea sized.
Gently add the water little by little and mix together. You want the dough to be moist but not too wet.
Divide the dough into 2/3 and 1/3 parts. Take the 2/3 part and roll it out unto a lightly floured surface to 17x 12 rectangle. Fold it into half then quarter and place on a 15×10 jelly roll pan. Then unfold it. Cut the excess with a knife. Chill in the refrigerator while making the filling.
Take the 1/3 part and roll it out. Cut out into long strips and also star shape using a star cutter. Place on a baking sheet and chill in the refrigerator. Preheat oven to 350 degrees Fahrenheit.
Filling
In a medium bowl, mix together the apples, sugar, brown sugar, flour, cinnamon, and salt. Pour the lemon juice and mix again. Take out the chilled pie crust, pour the filling and even out the layer.
Bake the pie for 30-35 minutes, until the apples are tender. Remove from oven and let cool in room temperature.
Top crust
Take out the pie strips and stars from the refrigerator. In 1 small bowl, add the red food coloring and 1 tsp of water. Repeat the same for the blue one.
Using a pastry brush, brush the stars with the blue, and brush the strips with the red. Bake in the oven for 10 minutes and let cool.
Arrange the top crust on top of the pie to look like the flag.