Grease and line the bottom of a 8x8-inch baking pan with parchment paper. Make a strip of foil by folding over a piece of foil two or three times (so it’s sturdy) and make a divide in the center of the pan (see the photo for more of a visual representation). This will make it so we can bake up two different colors of batter without them bleeding into one another.
In the bowl of a stand-up mixer, add the butter and salt. Beat until light and fluffy, about 3 minutes. With the mixer on low speed, add each egg, one at a time and mix until completely combined. Next add the vanilla, baking powder and salt and mix. Add the flour all at once and mix until just combined, being sure to not over mix because we’re going to mix some more in a lil’ bit.
Add half of the batter to another bowl (if you want to weigh it out to be exact, it’ll weigh about 375 grams). Sift the matcha powder over the batter and pour in the milk; fold until combined.
To the second bowl of batter, mix in 2 tablespoons of strawberry puree and a drop of food coloring. Add the first batter to one half of the prepared loaf pan and smooth out the top until it reaches the edges. Repeat with the second batter.
Transfer to the oven to bake for 20 to 25 minutes or until a skewer inserted into the center comes out clean. Allow to cool in the pans for about 10 minutes and then invert onto a cooling rack and cool.
This step is entirely optional but I find it easier to cut and trim cakes when they’re cold from the fridge. Wrap the cakes in plastic wrap and place them in the fridge to chill, about 3 hours. OR, you can even make them the night before and assemble it the day you’re serving it.