Preheat oven to 350°F (175°C). Line a 12-cup muffin tin with paper liners or lightly grease the cups.
In a medium bowl, whisk together flour, cocoa powder, baking soda, baking powder, salt, and espresso powder (if using).
In a large bowl, whisk together eggs, brown sugar, granulated sugar, vegetable oil, and vanilla extract until smooth.
Stir in the shredded zucchini until evenly combined.
Gradually add the dry ingredients to the wet ingredients and mix until just combined.
Fold in the chocolate chips.
Divide the batter evenly among the muffin cups, filling each about ¾ full.
Sprinkle mini chocolate chips on top of each muffin.
Bake for 18–22 minutes, or until a toothpick inserted into the center comes out with a few moist crumbs.
Cool in the pan for 5 minutes before transferring to a wire rack to cool completely.