Preheat oven to 375F. Grease a 9 X 13 baking dish.
In a large mixing bowl, add eggs, yogurt, and milk. Stir until the ingredients are completely mixed. Add the shredded rotisserie chicken and 1 1/2 Cups of the shredded cheese. Once this mixture is combined, add the cooked vegetables and stir until completely mixed.
Pour the chicken mixture into the baking dish and crumble the ritz crackers over the top of the casserole. Place in the oven for 35 minutes. The casserole is done when the top is golden brown. After 35 minutes, you can put the oven on broil and leave in for an extra 3-5 minutes if you wish to have your casserole more golden brown.