Preheat the oven to 350°F (175°C).

In a mixing bowl, cream together the softened butter, granulated sugar, and brown sugar until smooth.

Beat in the eggs one at a time, then stir in the vanilla extract and green food coloring.

In another bowl, whisk together the flour, baking soda, and salt. Gradually add to the creamed mixture and mix well.

Drop rounded tablespoons of dough onto ungreased baking sheets, spacing them about 2 inches apart.

Bake in the preheated oven for 10-12 minutes, or until the edges are lightly golden.

Allow cookies to cool on the baking sheet for a few minutes before transferring to wire racks to cool completely.

In a small bowl, mix the powdered sugar, milk, and vanilla extract to make the icing.

Drizzle or spread the icing over the cooled cookies and sprinkle with green sprinkles.