Preheat oven to 425 degrees F.
Line a 9-inch pie pan with half of dough. Combine sugar, flour, cinnamon, and salt in a bowl. Stir in apples, applesauce, and lemon juice. Spoon apple mixture into pie pan and dot with butter. Cut remaining crust into strips; arrange in a lattice design over top of pie. For crunch topping, combine flour, sugar, and salt in a bowl. Using a fork, cut in butter until mixture is crumbly. Sprinkle over top of crust. Bake for 10 minutes, then reduce heat to 350 degrees F and continue to bake for about 45 minutes, or until crust and topping are golden brown.