Preheat oven to 180C. Grease 2 8" pans well. Line the bottom of the cake tins with parchment paper. Sift together the flour and baking powder in a bowl.
Whisk in the vanilla extract and lemon zest. Fold in the dry ingredients until no white streaks are visible. Divide the batter equally between the 2 pans.
Spread 3/4 of the filling on top of the cake. Arrange the chopped strawberries on top. Place the second cake, right side up on top of the strawberries.