Preheat the oven to 350°F/180°C. Grease two 6-inch cake pans and line the bottom of the pans with parchment paper.
In a small saucepan, combine milk and the first measure of loose-leaf Earl Grey tea. Bring this to a simmer, stirring regularly. Once it's at a simmer, turn off the heat and let the tea milk steep and cool.
In a small bowl, whisk together the flour, baking powder, baking soda, the second measure of Earl Grey tea, and salt, and set aside.
In a medium bowl and electric mixer or with a stand mixer, beat room-temperature butter, oil and sugar on high speed for around 3-4 minutes until it's very light in color and creamy.
Add in the vanilla and eggs, one at a time, and beat in after each addition. Next, add in the lemon juice.
Strain the tea from the milk and measure out 120g (1/2 cup) of the milk.
Add the dry ingredients to the butter mixture along with the milk. Fold it until combined with a rubber spatula.
Divide the cake batter evenly amongst the cake pans and smooth down the tops of the batter with a small offset spatula.
Bake the cakes for around 26-28 minutes until the tops spring back when touched and a skewer inserted into the middle of the cakes comes out clean.
Remove the cakes from the oven and let them cool for 10 minutes in their pans, then turn them onto a wire cooling rack. Allow them to cool completely before frosting. You can also wrap the still-warm cakes up tightly in plastic wrap and freeze them until you're ready to frost if you're making them in advance.