Preheat the oven to 350°F (175°C). Grease a 9×9 inch light metal baking pan and line it with parchment paper.
Add the Earl Grey tea and lavender to a food processor and pulse until finely ground. Pass through a sieve to separate any large bits.
3 tbsp (12 g) Earl Grey tea, 1 tbsp (2 g) culinary lavender
In a medium bowl, whisk together the flour, Earl Grey tea, lavender, baking powder, baking soda, and salt. Then set aside the flour mixture.
2 1/4 cups (282 g) all-purpose flour, spooned and leveled, 1 1/2 tsp baking powder, 1/4 tsp baking soda, 1/2 tsp salt
Add the softened butter and granulated white sugar to a large bowl. Cream together for 2 minutes with an electric mixer on high speed.
10 tbsp (140 g) unsalted butter, softened, 1 1/2 cups (300 g) granulated white sugar
Then add in the eggs and vanilla and mix on medium speed until pale in color and smooth, about 1 minute.
3 eggs, at room temperature, 1 tbsp vanilla bean paste
Add in the buttermilk and dry ingredients a little bit at a time, mixing on low speed until all is combined and the batter is smooth. Scrape the sides of the bowl with a rubber spatula as necessary.
1 cup (240 ml) buttermilk
Pour the batter into the prepared pan. Bake the cake for 38-44 minutes, or until a toothpick comes out clean from the center.
Let the cake cool in the pan on a wire rack for 30 minutes, then pull up on the parchment paper to release it from the pan. Let the cake continue cooling on the cooling rack until completely cooled.