PREHEAT oven to 350° F.
COMBINE flours, baking soda, baking powder, cinnamon, ginger (or nutmeg) and salt in medium bowl. Beat honey and butter in large mixer bowl until well blended. Beat in pumpkin, egg and vanilla extract until smooth. Gradually beat in flour mixture. Drop by rounded tablespoon onto baking sheets.
BAKE for 15 to 18 minutes or until edges are firm. Cool on baking sheets for 2 minutes; remove to wire racks to cool completely. Drizzle Glaze over cookies.
COMBINE 1/2 cup maple sugar, 1 tablespoon milk, 1 tablespoon melted butter, 1 tablespoon maple syrup and 1 teaspoon vanilla extract in small saucepan on low heat until smooth. Allow glaze to cool for a few minutes before drizzling on the cookies.