Combine the cooled chicken mixture with the ricotta mixture.
Spread 2-3 tablespoons of béchamel sauce over the bottom of a 9-inch (23 cm) square baking dish.
Lay down a single layer of lasagna sheets (overlapping slightly if needed).
Spread half of the chicken-ricotta mixture over the pasta, followed by a quarter of the béchamel sauce.
Repeat the layers with lasagna sheets, the remaining chicken mixture, and another quarter of the béchamel sauce.
Finish with a final layer of lasagna sheets and top with the remaining béchamel sauce.
Sprinkle the gouda and parmesan cheeses evenly over the top.
Bake for 35-40 minutes, or until the top is golden and bubbly. Let it cool for 5-10 minutes before serving.