Iced Oatmeal Applesauce Cookies
- Make cookies: Preheat oven to 350 degrees F. 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.