Preheat oven to 400ºF.
In a small saucepan, add broth. Whisk in flour while bringing the broth to a boil. Whisk in cheeses. Reduce heat to med-low and simmer, stirring occasionally, until thick. Remove from heat and whisk in milk.
In a large fry pan, cook bacon (if using) until crisp. Remove. Drain off all but 1 Tbsp fat.
To bacon fat in the same pan, add chicken and cook, stirring, until fully cooked, about 5-7 minutes.
To a baking dish layer meat, bacon, quinoa and broccoli. Pour sauce over top. Sprinkle with cheese and bake for 15 minutes. To serve, sprinkle with chopped herbs.