In a large high sided pan over medium high heat, heat 1 tablespoon of olive oil and add the chicken. Brown the chicken and let it cook for about 10 minutes.
After the chicken has browned for 10 minutes, add the onions and garlic and sauté for about 3 minutes, until they start to soften.
Add the broccoli, carrots, chicken broth, orzo, and spices. Stir to combine.
Cover the pan with a lid and bring to a simmer, stirring occasionally. Make sure to scrape the bottom of the pan to prevent the orzo from sticking to the bottom of the pan. (Tip: You can microwave your broth before adding it to the pan to speed up cooking time) Cook for 6 minutes covered, then remove cover and cook for an additional 2 minutes.
Stir in the milk and cheeses. Stir over low heat for one to two minutes more until heated through.