Preheat your oven to 350°F (175°C).
In a bowl, whisk together flour, baking soda, and salt.
In a separate large bowl, cream together the butter, granulated sugar, and brown sugar.
Add eggs and vanilla extract, mixing until smooth.
Incorporate the dry ingredients gradually into the wet mixture.
Add green food coloring until you achieve the desired color.
Chill the dough for at least 30 minutes in the refrigerator.
Roll out the dough on a floured surface to about ¼ inch thick.
Cut out shapes using a Grinch-themed cookie cutter.
Place cookies on a lined baking sheet and bake for 10-12 minutes.
Allow cookies to cool before decorating with royal icing and sprinkles.