Preheat an oven to 175°c/155°c fan (347°f/311°f). Grease & line a Swiss roll tin (jelly roll tin) with baking parchment. Lightly grease the top of the parchment as well (with veg oil).I used a Swiss roll tin that measures 15" x 10.5" x 1". Sift the flour, cocoa powder, baking powder, espresso powder & salt into a bowl, whisk to combine thoroughly then set to one side.
Next, separate the eggs. Place the yolks into a large mixing bowl & the whites into the bowl of a stand mixer. You should roughly get 150g of egg whites & 70g of yolks. If you haven't got a stand mixer, place the egg whites into a separate large mixer bowl. Add 50g of the caster sugar into the yolks and place the remaining 90g of caster into a small separate bowl & set to one side (this is for the whites).
Using an electric hand mixer, whisk the yolks & sugar on a medium-high speed until pale & fluffy. This will take 4-5 minutes & the yolks should leave a trial on top when you lift the whisks out.
With the mixer still running, gradually drizzle in the veg oil, followed by the milk. Mix in the vanilla then set the yolks to one side.
Next, add the cream of tartar to the egg whites then whisk on a medium speed for 2-3 minutes until they reach soft peaks. Turn the speed down slightly then gradually add in the remaining caster sugar (90g), letting each addition incorporate fully before adding in more.If you haven't got a stand mixer, use an electric hand mixer. Make sure to clean the whisks & dry them well first though! I find that adding a tablespoon of sugar into the whites every 20 seconds or so works best. Once all the sugar has been added to the whites, turn the mixer speed back up to medium then continue whisking until the whites reach medium peaks (not quite stiff!). This will take 3-4 minutes.
Next, add half of the whites into the yolks then gently fold in with a spatula, until mostly incorporated. Add in the remaining whites then fold again. Don't worry if the whites aren't quite fully incorporated at this point.It's important not to over mix the batter! Sift half of the dry ingredients into the batter then gently fold in with your spatula until mostly combined. Sift in the rest of the dry ingredients then gently fold again until fully combined. Be careful not to over mix the batter, it should be light & airy. Gently transfer the batter to the lined tin, holding the bowl as close to the tin as possible to avoid knocking any air out. Then use a palette knife to gently spread the batter into a flat, even layer.
Give the tin a couple of firm taps on the counter then immediately place into the preheated oven & bake for 12-14 minutes, until the sponge springs back when lightly pressed. The sponge should be starting to come away from the sides of the tin. Once baked, let the sponge cool in the tin for 5 minutes.
Next, dust the top of the sponge with a light, even layer of sifted cocoa powder then place a large sheet of baking parchment on top followed by a large baking tray. Then in one smooth motion, flip the Swiss roll tin upside down, so that the sponge inverts out onto the baking paper & tray. You'll need around 1 tbsp of cocoa powder for dusting. If needed, run a palette around the edge of the tin to release the sponge. Carefully slide the sponge (on the parchment) off the tray & onto a clean work surface then remove the baking parchment from the top of the sponge. Then using the baking paper underneath the sponge, tightly roll the sponge up, starting at the shortest end closest to you. Place the sponge onto a cooling rack then leave to cool completely. This will take a couple of hours.The baking parchment should be rolled up inside the Swiss roll, to stop the sponge sticking to itself. There's a visual guide to this in the post above.