Creating the Strawberry Matcha Latte Cake can be straightforward if you follow these simple steps:

1. Preheat Oven: Preheat your oven to 350°F (175°C). Grease and flour two 9-inch round cake pans.
2. Prepare Dry Ingredients: In a large bowl, sift together the flour, granulated sugar, matcha powder, baking powder, and salt.
3. Combine Wet Ingredients: In another bowl, whisk together the milk, vegetable oil, eggs, and vanilla extract until well combined.
4. Mix Strawberry Puree: Fold in the pureed strawberries into the wet mixture.
5. Combine Mixtures: Gradually add the wet ingredients to the dry ingredients, stirring until smooth and no lumps remain.
6. Divide Batter: Pour the batter evenly into the prepared cake pans.
7. Bake: Place in the preheated oven and bake for 30-35 minutes or until a toothpick inserted in the center comes out clean.
8. Cool Cakes: Remove from the oven and allow the cakes to cool in their pans for 20-25 minutes. Then, gently transfer them to wire racks to cool completely.
9. Prepare Frosting: In a bowl, beat the softened butter until creamy. Gradually add powdered sugar and mix until smooth. Add milk a tablespoon at a time until you reach your desired consistency.
10. Frost the Cake: Once the cakes are cool, place one layer on a serving platter. Spread a layer of frosting on top. Place the second layer on top and frost the top and sides of the cake.
11. Garnish: Decorate with fresh strawberries on the top for an extra touch of elegance.

These steps will guide you in creating this incredible cake effortlessly.