In a small bowl, stir together the ¼ cup white sugar and 1 tablespoon orange zest until well combined.
Add 1 cup unsalted butter to the bowl of a stand mixer and beat on medium speed until pale and fluffy, about 2 minutes.
Add in the sugar/orange zest and continue beating for another 1-2 minutes.
Add in the 1/2 cup powdered sugar and 1 teaspoon vanilla extractand mix until combined.
Slowly add in the 2 cups all-purpose flour and 1/2 teaspoon salt, mixing until the dough comes together and scraping down the sides of the bowl as needed.
Mix/fold in 3/4 cup dried cranberries.
Chill the dough
Divide the dough in two and transfer each portion of dough to a piece of parchment paper or plastic wrap and roll into a log. Tightly secure the ends and refrigerate for 4+ hours, or freeze for 90 minutes.
Slice and Bake
Preheat oven to 350°F and line 2 baking sheets with parchment paper.
Add more granulated sugar to a shallow bowl or plate. Coat each log of cookie dough in sugar.
Slice the cookies about ¼” thick and place 1 inch apart on baking sheets.
Bake for 12-14 minutes. Let cool for 3 minutes, then transfer to cooling rack to cool completely.