Preheat the oven to 350 degrees F. First, whisk the melted butter, oil, honey, and sugar in a bowl until combined. Next, stir in the egg and the milk.
Add baking soda, baking powder, flour, cornmeal, and salt to the bowl and mix just until combined. Do not over-mix.
Next, fold in the diced jalapeños and shredded cheddar cheese until just combined.
Transfer the mixed jalapeño cheddar cornbread batter into a muffin tin lined with cupcake liners or grease with nonstick spray or melted butter.
Bake the cornbread muffins for 15-18 minutes or until golden brown. Remove the muffins from the oven and allow them to cool.