Preheat oven to 350ºF (180°C). Grease with soft shortening and lightly flour a 10-cup bundt pan, shaking off excess. Reserve.
In a large bowl, beat 1 cup unsalted butter until creamy, about 1 minute. Gradually add 1 cup brown sugar⅓ cup white sugar, beating until very creamy, about 3 or 4 minutes.
Add 2 large eggs, one at a time, beating well until they're fully incorporated.
In a separate bowl, sift together 1 ⅔ cups all-purpose flour, ½ cup unsweetened cocoa powder, ¼ teaspoon baking soda, ½ teaspoon baking powderand ½ teaspoon salt. I have them measured and sift them directly over the butter mixture.
Add the dry ingredients in 3 additions to the butter mixture, alternating with the 1 cup red wine and 1 teaspoon vanilla extract in 2 additions. You start and end with the flour mixture. Mix until very well blended but don't overmix at this point.
Pour the chocolate cake batter into the prepared pan. It should be filled ⅔ to ¾ of its capacity, no more than that. This way, the batter has space to grow and bake well.
Bake for about 45 minutes or until a cake tester or toothpick inserted in the center comes out clean. Let it cool on a wire rack for about 15 minutes or so, then unmold it on a wire rack and cool completely.