Combine carrots, butter, honey, vanilla extract, salt, eggs and spices in a mixing bowl. Mix together thoroughly with an electric mixer; mix until smooth. Fold in white and brown sugars. Pour filling into pastry crust.
Bake at 350 degrees F ( 175 degrees C) for 50 to 60 minutes. To determine if pie is done, insert toothpick. If it comes out clean it is ready.