Preheat oven to 400 degrees. Grease a 11x7 pan.
In a medium bowl, whisk together flour, corn meal, sugar, baking powder and salt.
Add vegetable oil and whisk until crumbly.
Whisk in milk and egg.
Stir in diced green chilis (undrained) and cream corn.
Pour into prepared pan.
Bake for 25 minutes until the edges are lightly golden and the center is set.
Reduce oven to 350 degrees.
Poke holes in the cornbread base with a butter knife.
Pour over a cup of the enchilada sauce.
Top evenly with carnitas.
Drizzle on the remaining half cup of enchilada sauce.
Top with cheese.
Bake covered for 20 minutes. Uncover and bake for 5-10 minutes.
Serve with cilantro on top.