Key Lime Cookies with Coconut Lime Frosting

• 1 cup butter (cold and cut into cubes)
• 2 cups sugar
• 2 large eggs
• 1 1/2 Tablespoons fresh lime juice (from key limes or regular limes)
• 1 1/2 Tablespoons fresh lime zest
• 1 cup sweetened flaked coconut
• 3 cups flour
• 1 1/4 teaspoons baking powder
• 1/4 teaspoon baking soda
• 1/2 teaspoon salt

Coconut Lime Frosting:

• 1 cup butter (softened)
• 4 ounces cream cheese (softened)
• 4 cups powdered sugar
• 1-2 teaspoons coconut extract
• 1 teaspoon fresh lime juice
• 2 teaspoons fresh lime zest