Place the rack in the center of the oven. Preheat the oven to 325 °F (162 °C) and line two round 8" pans with parchment paper, and grease the sides.
In a medium mixing bowl, stir together the flour, matcha, baking powder and salt. Set aside.
1 3/4 cups + 2 tablespoons (225 grams) flour, 2 tablespoons (12 grams) ceremonial matcha, 2 teaspoons baking powder, 1 1/4 teaspoons salt
In a large mixing bowl with an electric hand mixer or a stand mixer with a whisk attachment, beat the eggs, sugar, and vanilla extract at medium-high speed for about 2 minutes until it's thickened and a light gold color. Should your stand mixer not have a whisk attachment, then beat the mixture for 5 minutes using the paddle attachment.
4 large eggs, 1 3/4 cups (350 grams) granulated sugar, 1 tablespoon vanilla extract
Beat in the dry ingredients on low speed just until combined. Use a silicon spatula to scrape the bottom and sides of the bowl and mix briefly to incorporate.
In a small saucepan, heat the milk over medium heat. You shouldn't let it boil. When you see small bubbles start to appear around the edge of the saucepan, it's ready. The temperature will be 180-185 °F (82-85 °C). Remove the pan from the heat and stir in the butter and oil until the butter has melted.
1 cup (227 grams) whole milk, 1/4 cup (56 grams) unsalted butter, 1/4 cup (60 ml) vegetable
Slowly stir the milk mixture into the batter at low speed and mix until totally combined.
Divide the batter between the two prepared pans, using about 2 3/4 cups (580 grams) of batter in each pan. It may look bubbly.
Bake the cake for 35-40 minutes or until a toothpick inserted into the center comes out clean and the edges of the cake are pulling away from the pan's sides.
Remove the cake from the oven and place it on a wire rack to cool completely, which takes about 2 hours.