Take out 12 frozen dinner rolls and allow them to thaw but still be cold. Cut each roll with a pizza cutter into about 4-6 smaller pieces each.
Mix the 1 cup of sugar and orange zest into a small bowl and set aside.
Melt the 1/2 cup butter and mix with karo syrup.
Spray a muffin pan with cooking spray and set aside.
Dip each small piece of the butter and roll in the sugar/orange zest mixture. Put about 4-6 pieces into the muffin tin and fill them about 1/2 way with the small frozen dinner roll pieces. Let them double in size.
Bake at 350 degrees for 15 minutes or until golden brown.
For the sweet orange glaze, mix the powdered sugar, orange zest, 1 tbsp butter, 2 tbsp orange juice, and 1 tsp vanilla together. Drizzle over each of the orange rolls.