Preheat oven to 350ºF (180ºC).
Grease a 12-cup bundt cake pan with 2 tablespoons shortening and flour, shaking off excess. Reserve.
Sift together 1 ¼ cups all-purpose flour, ¾ cup cocoa powder, 1 ¼ teaspoon baking powder, 1 ¼ teaspoon baking soda and ¾ teaspoon salt in a large bowl.
Add 1 cup ground hazelnuts, 1 cup sugar and ¾ cup brown sugar and combine.
Beat together 2 eggs, 1 cup milk, ½ cup vegetable oil and 2 teaspoons vanilla extract for 1 minute in a medium bowl. You can use an electric mixer. I normally use a hand whisk.
Add wet ingredients to the dry ones while beating on low speed or mixing.
Heat 1 cup drip coffee until very hot, almost boiling. Add slowly to the chocolate batter while you continuously stir. Integrate well. The batter will be thin.
Pour into the prepared pan, filling no more than ¾ of its capacity.
Bake until a cake tester or toothpick inserted in center comes out clean, about 45 minutes.
Let cool for 15 minutes on a wire rack. Use a smooth-bladed knife around the edges and center tube to loosen up any bits that might be stuck to the walls. Shake the pan right and left, up and down until you feel the cake is loose. Be careful when doing it.
Invert the cake onto the cooling rack, lifting the pan slowly. If the cake resists, invert again and cool in the pan for 10 more minutes before attempting to remove it again.
Let cool completely before glazing it.