Preheat your oven to 350°F (175°C). Line a baking sheet with parchment paper.
In a medium bowl, whisk together the flour, baking soda, and salt. Set this mixture aside.
In a large mixing bowl, using an electric mixer, cream together the softened butter, brown sugar, and granulated sugar until light and fluffy.
Add the egg and vanilla extract to the butter mixture and mix until well combined.
Stir in the mashed banana and instant banana pudding mix until fully incorporated.
Gradually add the dry ingredients to the wet mixture, mixing until just combined. Be careful not to over-mix.
Gently fold in the chopped strawberries with a silicone spatula.
Scoop tablespoon-sized portions of dough onto the prepared baking sheet, spacing them about 2 inches apart.
Bake in the preheated oven for 10-12 minutes, or until the edges are lightly golden.
Remove from the oven and let the cookies cool on the baking sheet for a few minutes before transferring them to a wire rack to cool completely.
While the cookies are cooling, prepare the cheesecake dip. In a mixing bowl, combine the softened cream cheese, powdered sugar, sour cream, and vanilla extract.
Beat with an electric mixer until smooth and creamy.
Serve the cookies warm or at room temperature with the cheesecake dip on the side.