Preheat oven to 425 degrees.
Stir together flour, baking powder, baking soda, salt and sugar in a medium bowl.
Cut in butter until crumbly. Stir in buttermilk to form dough.
Put dough onto a well floured surface and roll out to ½ inch thick (make sure you're rolling pin is well floured as well). Cut out turkey shaped biscuits with the cookie cutter. Flour the cookie cutter to keep it from sticking to the dough.
Place biscuits one inch apart on an ungreased cookie sheet and put a currant on each to make the turkey's eye. Lightly press the currant into the dough.
Bake for 12-15 minutes until golden brown.