Preheat oven to 350 degrees, and line an 8x8 baking pan with parchment paper.
Add chopped strawberries to a bowl and toss with 1 tbsp of flour until coated evenly. This helps the strawberries not sink to the bottom when baking. Set aside.
1 cup chopped fresh strawberries
Peel bananas and blend in a blender until smooth.
2 large ripe bananas
Add sugar, egg, avocado oil, and vanilla extract to the blended bananas. Blend until just combined.
1 cup granulated sugar, 1 egg, 1/3 cup avocado oil, 1 tsp vanilla extract
In a large bowl, stir together flour, baking soda, and sea salt.
1 1/4 cup gluten free all-purpose flour, 1/4 tsp sea salt, 1 tsp baking soda
Add the blended wet ingredients to the flour mixture, and stir until just combined. It should be thick and sticky.
Fold in the chopped strawberries.
Transfer the batter to the prepared baking pan and spread out into an even layer. Bake for 30-35 minutes until the toothpick inserted in the center comes out clean. Cool for 15 minutes then transfer to cool completely.
Once the cake is completely cool, place freeze dried strawberries in a coffee grinder or a food processor, then grind until powdery.
1/2 cup freeze dried strawberries
Add the ground up freeze dried strawberries to a bowl, along with cream cheese, butter, and powdered sugar. Use a hand mixer to mix until smooth and creamy.
1/2 cup cream cheese, 1/4 cup powdered sugar, 1/4 cup butter
Frost the top of the cooled cake in an even layer. Slice into 16 squares and serve!