Preheat oven to 375°F. Place the apple sauce and brown sugar in a saucepan. Bring to a boil, reduce and simmer for 20 minutes, stirring occasionally.
Remove from heat; add 3 Tablespoons of butter and stir until melted. Stir in the raisins and cranberries and allow to cool.
In a small mixing bowl, beat the eggs and add to the apple sauce mixture. Pour into the pie shell. Bake on a low rack for 20 minutes
Blend the flour, sugar and spices and cut in the 2 Tablespoons of butter until crumbly.
Sprinkle evenly over the top of the pie and continue baking until the top and crust are golden brown, about 25 minutes.