Combine the flour with the sugar, baking soda, baking powder, cocoa powder, and salt.: You'll notice the dry mix becomes uniform in color and aroma, with the chocolate and baking agents evenly dispersed, which prevents streaks or pockets of leavener in the final cake. Sifting or whisking these together aerates the mixture, and you should smell a faint cocoa scent. A common mistake here is not mixing thoroughly, which can leave dense spots, so take a minute to whisk until homogenous.
In a separate bowl, lightly whisk the eggs, add the oil, yogurt, and vanilla, and mix.: The wet ingredients will come together into a glossy, slightly viscous liquid, with the eggs providing structure and the oil adding sheen. The mixture should look uniform without separate streaks of oil. Avoid overwhisking which can create excessive air, leading to a coarse crumb later; gentle, even mixing is key.
Incorporate the liquid ingredients into the dry ingredients. Finally, add warm coffee.: As you fold the wet into dry, the batter will transform from powdery to smooth, and when you add the warm strong coffee the cocoa will bloom, deepening the color and aroma. You should hear a quiet slurry sound as the batter smooths. Do not overstir, as that will develop gluten and make the cake tough; stop when the mixture is even.
Preheat the oven to 175 °C (350 °F) and line a large baking tray, 30/40 cm, with parchment paper.: The oven warmth is crucial for predictable rise, and lining the tray prevents sticking and promotes even browning. You'll feel the heat when you open the oven, and the parchment will make sliding the cake out simple. A frequent error is skipping preheating, which can cause uneven lift and a dense center, so always wait until the oven reaches temperature.
Pour the mixture into the tray and smooth it out. Bake for 25-30 minutes until it passes the toothpick test. Transfer to a cooling rack, then cut into two 30/20 cm pieces.: As the batter bakes, steam will lift the cake and the surface will set, sometimes showing a faint crackle. The toothpick should come out with a few moist crumbs not raw batter, and the edges will start to pull away slightly. Transfer it right away to a cooling rack to stop cooking, and only slice when cool to avoid tearing. Cutting while warm is a common mistake that leads to ragged layers, so patience pays off.
Using a mixer, combine the cream cheese with the pumpkin purée and powdered sugar and mix until you get a smooth cream. Add the ground ginger and mix some more.: The texture should turn silky and spreadable, with the cream cheese lending tang and the pumpkin puree offering body. The aroma will shift to warm spice as you add ground ginger . Scrape the bowl to ensure no lumps remain; a lumpy filling is the usual pitfall here, so mix until perfectly smooth.
Put 200 ml (3/4 cup) of the whipping cream over medium heat and bring to almost boiling point. Turn off the heat and add the broken chocolate pieces. After two minutes, stir the mixture and let it cool. Add the vanilla extract and stir again.: The chocolate will melt into a glossy emulsion with a rich chocolate aroma as you stir, forming a warm ganache base for the mousse. Letting it sit off the heat for two minutes helps the chocolate melt gently. If the cream boils, it can scorch the chocolate and create graininess, so watch the pan and remove it just before boiling.
Mix the remaining whipping cream (300 ml/1 1/2 cup) with the powdered sugar and vanilla sugar until you get a firm whipped cream. Incorporate the whipped cream into the cooled chocolate cream with upward movements.: The whipped cream should be billowy and hold soft peaks, and folding it into the chocolate should create a light mousse with marbled swirls that quickly even out. The motion preserves air, yielding a mousse that feels airy in the mouth. A common mistake is beating the whipped cream too stiff or folding too vigorously, both of which can deflate the mousse.
Take a piece of the cake and spread 1/3 of the chocolate mousse on top. Smooth it out and cover it with the other piece of cake. Nicely spread the pumpkin cream on top.: As you spread the mousse, you'll feel a cool, satiny texture and see the layer retain its shape without sliding. After stacking and adding the pumpkin cream, the top layer should look even and slightly domed. If you press too hard while spreading, the layers may compress and lose their lightness, so use gentle, even strokes.
Spread the last layer of chocolate cream and refrigerate the cake for 2-3 hours. Glaze the cake with chocolate ganache and decorate it with chocolate pieces.: The final chill lets the mousse set so slices hold clean edges, and the ganache will form a glossy sheet when poured over the chilled cake. You will hear a quiet settling as the ganache smooths, and the chocolate pieces add a crisp contrast. A common oversight is slicing before full chilling, which leads to messy pieces, so allow the full refrigeration time for best results.