Powdered sugar / granulated sugar (post are there in cookies made with powdered sugar versus granulated sugar? .. I was very disappointed that we (the U.S.) chose to import Mr. Bean instead of the Black Adder.
This answer touches on the problem: Superfine sugar will dissolve too quickly and won't allow enough air to be incorporated. Powdered or superfine.
Many cake and cookie recipes can be adapted by using modern sweeteners if you don't Or, instead of 1 cup granulated sugar use 1 1/2 cups molasses plus 1 /4 tsp baking If you don't have 2 cups powdered sugar use 1 cup granulated.