2 cups granulated sugar
1 1/3 cups vegetable oil
3 extra-large eggs, at room temperature
1 teaspoon pure vanilla extract
2 1/2 cups plus 1 tablespoon all-purpose flour, divided
2 teaspoons ground cinnamon
2 teaspoons baking soda
1 1/2 teaspoons kosher salt
1 cup raisins
1 cup chopped walnuts
1 pound carrots, grated
1/2 cup diced fresh pineapple
3/4 pound cream cheese, at room temperature
1/2 pound unsalted butter, at room temperature
1 teaspoon pure vanilla extract
1 pound confectioners' sugar, sifted
1/2 cup diced fresh pineapple