Carrot cake with cream cheese frosting

Name: Carrot cake with cream cheese frosting
Ingredients: 1 box carrot cake mix (Betty Crocker's); 1 small box instant vanilla pudding; 2/3 cup orange juice, freshly squeezed is best; 1/4 cup vegetable oil; 1/4 cup butter, melted; 4 eggs, at room temperature; 2 teaspoons cinnamon; 3 cups grated carrots, about 5 carrots; 1/2 cup raisins, soaked in hot water for ~10 minutes, and drained; 1/2 cup walnuts, toasted in a dry saucepan and chopped; 1 small piece of crystallized ginger, minced (optional); 12 ounces cream cheese, softened; 12 tablespoons butter, softened; 4 1/2 cups powdered sugar; 2 tablespoons orange zest, grated; 3 tablespoons orange juice, reduced by simmering to 1 tablespoon OR 1 tablespoon concentrated orange juice from freezer section; 3 tablespoons crystallized ginger, minced fine or use food processor (optional)