Preheat oven to 400°F. Grease 9- x 9-inch pan.
In a large bowl, whisk together cornmeal, flour, baking powder, baking soda, and salt.
In a medium bowl, whisk eggs, corn puree, coconut milk, honey, and evoo together.
Pour wet ingredients into dry ingredients and whisk until just combined.
Pour batter into prepared pan, and bake at 400°F for 30 to 40 minutes, or until a toothpick inserted comes out dry. Cool cornbread. Wrap and refrigerate for up to 3 days or freeze for up to 1 month.