Brown ground beef in a large skillet until crumbly; drain fat.
Add seasonings, tomatoes, tomato sauce, and green chiles to the skillet; stir and bring to a boil; reduce heat and cook for 5 minutes.
Combine cottage cheese, egg, and 1 1/3 cups of the shredded cheese in a separate bowl.
In a lightly greased 9x13" baking pan, spread (in layers) half of the meat mixture, then half of the tortilla pieces, and then half of the cheese mixture; repeat the layers, ending with cheese mixture; sprinkle remaining 2/3 cup shredded cheese and sliced olives over top.
Bake, uncovered, at 350° for 20-30 minutes or until hot and bubbly around edges; remove from oven and let stand 5-10 minutes before cutting into serving portions.
NOTE: The cottage cheese may be left unpureed or may be replaced with a cup of ricotta cheese.