Heat oven to 400° F.
Cream together shortening, sugar, egg and vanilla extract.
Sift together flour, salt and baking soda. Add mixture to wet ingredients, alternatively adding in Greek yogurt.
Flour surface and roll out cookie dough. Use top of jar or biscuit cutter to make round cookie shapes.
Bake 8 minutes. Transfer to cooling rack immediately.
In medium bowl, using a mixer on low, mix powdered sugar, butter, milk and coconut extract until thoroughly combined. Beat on high until frosting is smooth and fluffy.
Spread frosting on cookies. Pour shredded coconut into small bowl. Press cookies, frosting side down, into shredded coconut.
Store in airtight container.