Preheat oven to 180°C (350°F) conventional (see note 1 if using a convection/fan-forced oven). Lightly grease an 8.5 x 4.5-inch loaf tin. Line the pan lengthways with parchment paper, leaving some overhang on the sides to make it easier to lift the loaf. Set aside.
Sift together flour, cocoa powder, baking powder, baking soda and salt. Using a whisk, mix until well combined, then set aside.
In a large bowl add in brown sugar, white sugar, milk, melted butter, unflavored vegetable oil, eggs and vanilla. Using a whisk, mix until well combined.
Add in presifted dry ingredients to the wet ingredients and mix with a whisk until just combined. Do not overmix.
Add in hot coffee and mix with a whisk until well combined. The mixture should be smooth, but avoid overmixing.
Pour the batter into the prepared loaf tin. Lightly drop the pan on the counter to remove any large air bubbles. Bake for 55–60 minutes, or until a skewer or thin knife inserted into the center comes out clean or with a few moist crumbs.
Allow the loaf to cool in the pan for 20 minutes, before running a thin knife along the edges not lined with parchment, then use the overhanging paper to lift the loaf out of the tin and place it on a wire rack to cool completely.
Once fully cooled, carefully transfer the loaf to a serving plate and frost with chocolate fudge frosting (recipe below).