Preheat oven to 400.
Lightly coat an 8-inch square metal baking pan with cooking spray.
Set prepared pan aside.
Weigh or spoon flour into a dry measuring cup; level with a knife.
Combine flour and next 5 ingredients (through salt); stir with a
whisk. Combine buttermilk and eggs. Combine 1/4 cup honey,
1/4 cup molasses, brown sugar, butter, and fresh ginger in a
pan over medium heat. Stir constantly until sugar melts. Remove
pan from heat; cool 5 minutes. Add egg mixture to honey
mixture, stirring with a whisk. Add egg mixture to flour mixture;
stir until well combined.
Pour batter into pan. Bake at 400 for 25 minutes. Place on a rack;
pierce surface with a skewer. Combine 1 tablespoon honey, 1
tablespoon molasses, and 1 tablespoon water; brush over hot cake.
Cool. Dust with powdered sugar.
