01 - Place butter in a medium saucepan over medium heat. Cook, stirring constantly, until butter foams, turns golden brown, and develops a nutty aroma, about 4–6 minutes. Immediately pour into a large mixing bowl and let cool for 10 minutes.
02 - Add brown sugar and granulated sugar to the cooled brown butter. Whisk until fully combined. Stir in eggs and vanilla extract until mixture is smooth and well incorporated.
03 - In a separate bowl, whisk together flour, baking soda, baking powder, salt, cinnamon, nutmeg, and ginger until evenly distributed.
04 - Add dry ingredients to the wet mixture. Stir gently until just combined—be careful not to overmix. Fold in oats, grated carrots, chopped nuts, and raisins if using.
05 - Cover bowl and refrigerate dough for 30 minutes to enhance chewiness and prevent excessive spreading during baking.
06 - Preheat oven to 350°F. Line two baking sheets with parchment paper.
07 - Scoop dough into 2-tablespoon balls, arranging them 2 inches apart on prepared baking sheets.
08 - Bake for 11–13 minutes, until edges are set and centers appear slightly underbaked. Let cookies cool on baking sheet for 5 minutes, then transfer to wire rack to cool completely.
09 - Beat softened cream cheese and butter together until smooth. Add powdered sugar and vanilla extract, continuing to beat until creamy and well combined. Drizzle glaze over cooled cookies.