Carrot Cake Ice Cream

1 (18 1/4 ounce) package yellow cake mix 1 (3 1/2 ounce) package vanilla instant pudding mix 2/3 cup orange juice 1/2 cup vegetable oil 4 large eggs 2[...]

1 cup unsalted butter , softened 1 cup light brown sugar 1 cup granulated sugar 2 eggs 3/4 teaspoon vanilla extract 2 cups all-purpose flour 1 teaspoon baking[...]