Preheat your oven to 160C (320F) and line a baking sheet with parchment paper. The sheet should be big enough to bake an 11” by 16” (28cm by 40cm) rectangular sponge. You will also need a deep 8” by 11” (20cm by 28cm) baking dish.
Into a large bowl, add the egg yolks, milk, lemon juice, lemon zest, vanilla extract, and oil. Whisk well.
Sift in the flour and salt. Whisk until well combined and no dry ingredients are left.
In the bowl of a stand mixer fitted with a whisk attachment (or using a hand mixer and a bowl), add the egg whites and cream of tartar. Whip on medium-low speed, gradually adding sugar. When all the sugar is added, switch the speed to medium-high and whip to medium peaks. Do not overwhip to stiff peaks!
Using a rubber spatula, fold ⅓ of the egg white mixture into the egg yolk mixture until well combined.
Then, add the rest of the egg whites and gently fold until a homogeneous consistency.
Pour the cake batter onto the prepared baking sheet and spread it in an even layer using an offset spatula forming an 11” by 16” (28cm by 40cm) rectangle. Bake the sponge for 25 minutes or until the top is springy to the touch. A toothpick inserted into the center should come out clean.
Remove from the oven and let it rest for 10 minutes. Then, lift the cake from the pan, holding onto the parchment paper, and flip it onto a fresh piece of parchment paper. Peel the paper and cover the sponge with plastic wrap.
Allow the sponge to cool to room temperature. Cut the sponge into two 8” by 11” (20cm by 28cm) rectangles.