Preheat oven to 350°F and line a cookie sheet with parchment paper.
In a stand mixer, cream sugar, butter, shortening, and salt until light and fluffy.
Add egg, corn syrup, orange zest, and orange juice and beat until well mixed.
In a separate bowl mix flour, baking soda, and baking powder. Add to wet ingredients.
Scoop (I use the medium cookie scoop tool) and roll into balls. Bake for 8 minutes. Let cool until warm.
Make glaze: Mix powdered sugar, milk, orange juice, and zest until desired consistency.
Drizzle frosting over warm cookies.