Preheat your oven to 350°F (175°C) and grease two 8-inch cake pans.
In a medium bowl, sift together the flour and salt.
In a large bowl, cream together the sugar and melted butter until light and fluffy.
Beat in the eggs, one at a time, followed by the vanilla extract.
Add the milk and mix until just combined.
Divide the batter evenly into two bowls.
To one bowl, add the matcha powder and stir until fully incorporated.
To the other bowl, add the pureed strawberries and mix until smooth.
Alternately layer the pink strawberry and green matcha batters in the prepared cake pans.
Gently swirl the batters together using a toothpick or skewer for a marbled effect.
Bake for 25-30 minutes, or until a toothpick inserted into the center comes out clean.
Let the cakes cool in the pans for 10 minutes, then transfer them to wire racks to cool completely.
