Butter Mixture: In a large bowl, combine the cooled brown butter with granulated sugar, brown sugar, and salt. Stir until well mixed.
Incorporation of Wet Ingredients: Add the egg, vanilla extract, and spices to the butter mixture. Mix thoroughly until the mixture is smooth and glossy, ensuring no traces of egg remain.
Dough Formation: Sift together the flour and baking soda. Gradually add these dry ingredients to the wet mixture, mixing until a soft dough forms.
Addition of Carrots and Other Ingredients: Once the carrots have cooled, fold them into the dough along with the instant oats, chopped pecans, and shredded coconut.
Portioning: Using a 3-ounce cookie scoop or a tablespoon, scoop eight portions of dough.
Stuffing the Cookies: Remove the orange cream cheese filling from the refrigerator. Flatten each portion of dough into a disc. Place a teaspoon of filling in the center of each disc, then enclose the filling by pinching the dough shut.
Chilling: Place the stuffed dough portions on a cookie sheet and refrigerate for at least one hour, or overnight if possible, to firm up.
Baking: Preheat the oven to 325 degrees Fahrenheit (163 degrees Celsius). Arrange cookies on a parchment-lined baking sheet, spacing them well apart. Bake for 14-16 minutes, or until the cookies are slightly domed and the edges have turned golden brown.
Cooling: Allow the cookies to cool on the baking sheet for at least one hour to set properly before serving.