4 tablespoons unsalted butter, melted
1 cup packed light-brown sugar
1/2 cup granulated sugar
1 large egg
1/2 cup chunky-style applesauce
1 1/2 cups old-fashioned rolled oats
1 1/4 cups all-purpose flour
1/2 teaspoon baking soda
1/4 teaspoon baking powder
1/4 teaspoon coarse salt
1 cup golden raisins
1 3/4 cups confectioners' sugar
3 tablespoons pure maple syrup
Make cookies: Preheat oven to 350. Put butter and sugars in the bowl of an electric mixer fitted with the paddle attachment. Mix on low speed until combined. Add egg and applesauce, mix until well blended, 2 to 3 minutes. Mix in oats, flour, baking soda, baking powder, and salt. Mix in raisins.
Using a 1 1/2-inch ice cream scoop, drop dough onto baking sheets lined with parchment paper, spacing 2 inches apart. Bake cookies until golden and just set, 13 to 15 minutes. Let cool on sheets 5 minutes. Transfer cookies to a wire rack set over parchment paper; let cool completely.
Make icing: Whisk confectioners' sugar, syrup, and 3 tablespoons water until smooth. Drizzle over cookies, let set.