Step 1

Preheat the oven to 350 degrees F (175 degrees C).

Step 2

Combine flour, baking soda, baking powder, and salt in a small bowl.

Step 3

Beat eggs lightly in a large bowl. Add brown sugar, white sugar, shortening, and peanut butter. Mix until well blended and fluffy. Add 1/2 of the flour mixture; mix well. Repeat with remaining flour mixture; cookie dough should appear slightly dry and crumbly. Add bananas and mix well.

Step 4

Roll dough into small walnut-sized balls. Place on baking sheets. Press criss-cross patterns into each cookie using a fork, dipping it into some flour to prevent sticking.

Step 5

Bake in the preheated oven until edges are golden, about 10 minutes. Let cool completely, at least 20 minutes. Apply some chocolate syrup to the back of a tablespoon and drizzle it over each cookie.