Preheat oven to 350 degrees. Grease two muffin pans with baking spray.
In a large bowl, combine the flours, sugars, baking soda, baking powder, and salt.
Stir in currants.
In a separate bowl, combine eggs, oil, buttermilk, vanilla, and applesauce.
Mix wet ingredients into dry ingredients, stirring only until mixed.
Pour into greased baking pans if making bread. If making muffins, scoop into muffin tins, and fill to about ½ inch from the top of the pan.
Sprinkle some brown sugar on top of each muffin. (If you have some cinnamon sugar laying around, feel free to give the top of each a good shake of that also).
Bake until baked through in the center, about 20 minutes.
Allow muffins to cool in the pan for about 10-15 minutes. Remove and place on a cooling rack until cool. At that point you can wrap and freeze or dig in!