Place the flour and sugar in a medium bowl and using an electric hand mixer, mix well. Add the butter and continue mixing at low speed for about 20 seconds.
Add the orange zest and start adding the orange juice. Keep mixing at low speed while you are adding the juice.
Once the mixture has pulled together, mix at a slightly higher speed to fully incorporate the ingredients.
Roll the dough into ball, wrap in plastic wrap, and chill for about 20 minutes.
Sprinkle some flour onto your work surface and roll the dough to ¼-inch thick. Cut into 1 x 3 ½ inches strips. Add more flour to the work surface if necessary and again roll each strip to about ⅛ inch thick.
Place a heavy pot over medium heat and fill it about one-third of the way with vegetable oil. Heat until a deep-fry thermometer registers 340°F.
Add the pieces and fry until golden brown. Using a slotted spoon transfer to a plate lined with paper towel. Sprinkle with sugar and serve warm.