Preheat the oven to 180℃/160℃ fan/350℉/gas mark 4. Line two 20 cm/8 in round cake tins with baking paper.
Whisk together the lemon juice and zest, melted butter, oil, yogurt, milk, caster sugar and vanilla extract with a balloon whisk in a large bowl.
finely grated zest of 3 large lemons, 80 g (⅓ cup) fresh lemon juice, 90 g (6 Tablespoons) vegan block butter, 110 g (½ cup) neutral oil (not coconut), 160 g (⅔ cup) vegan Greek style yogurt, 160 g (⅔ cup) unsweetened non-dairy milk (I use soy), 280 g (1 cup + 6 Tablespoons) caster or granulated sugar, 2 teaspoons vanilla extract
Whisk in the cornflour, baking powder, bicarbonate of soda and salt followed by the plain flour. Be careful not to over-beat the batter, stop mixing as soon as it is fully combined.
20 g (2 packed Tablespoons) cornflour (cornstarch), 2 ½ teaspoons baking powder, ¼ teaspoon bicarbonate of soda (baking soda), ¼ teaspoon salt, 380 g (3 cups) plain (all-purpose) flour
Divide the mixture evenly between the prepared cake tins and spread it level (use a scale for accuracy). Bake for about 30 minutes until a skewer inserted into the centre comes out clean.
Leave the cakes to cool in the tins for 15 minutes then carefully turn them out onto a wire rack and leave to cool completely.
Once the cakes have cooled make the syrup. Place the lemon juice and sugar in a small saucepan and bring up to a simmer then remove from the heat.
30 g (2 ½ Tablespoons) caster or granulated sugar, 30 g (2 Tablespoons) fresh lemon juice
Trim the tops of the cakes to level them then gently brush them with the lemon syrup.
To make the buttercream, whisk the butter and icing sugar together with an electric mixer until very light and fluffy.
225 g (1 cup) vegan block butter, 350 g (3 cups) icing (powdered) sugar
Add the lemon zest and juice and the vanilla extract and continue to whisk for a couple of minutes.
finely grated zest of 1 large lemon, 1 Tablespoon fresh lemon juice, 1 teaspoon vanilla extract
Place one of the cake layers on a serving plate and spread over a thin layer of the buttercream using a palette knife. Transfer some of the buttercream to a piping bag fitted with a large round nozzle and pipe a ring around the edge of the cake to create a dam for the lemon curd.
Give the lemon curd a good stir until it becomes smooth then spoon about half of it inside the buttercream dam and spread it level.
½ batch vegan lemon curd to fill Spread a thin layer of buttercream over the top of the other cake layer and place it on top of the lemon curd topped cake, buttercream side down.
Coat the top and sides of the cake with buttercream, use a cake scraper to smooth it out. Place any remaining buttercream in a piping bag fitted with a large star nozzle and pipe swirls around the top edge of the cake. Spoon the rest of the lemon curd in the middle and spread it level.