Mix the white sugar, brown sugar, and butter together in a bowl. Stir in the corn syrup, eggs, and bourbon; fold in the pecans. Pour the mixture into the pie crust.
Bake in the preheated oven for 10 minutes; reduce heat to 350 degrees F (175 degrees C); continue to bake until the pie is set, about 25 minutes more. Allow to cool completely on a wire rack before serving.