Heat oven to 350°. Beat sugars, butter, shortening, vanilla, orange peel and egg in large bowl with electric mixer on medium speed until light and fluffy, or mix with spoon. Stir in flour, baking soda and salt. Stir in cranberries and white baking bar chunks.
Drop by rounded teaspoonfuls about 2 inches apart onto ungreased cookie sheet.
Bake 10 to 12 minutes or until light brown. Cool 1 to 2 minutes; remove from cookie sheet to wire rack. Cool completely, about 30 minutes. Drizzle with White Chocolate Glaze.
Method for White Chocolate Glaze: Place ingredients in 2-cup microwavable measuring cup or deep bowl. Microwave uncovered on High 45 seconds; stir.