Cook the pasta according to the package in the boiling salty water.
Make zucchini noodles (zoodles) with a spiralizer, or cut zucchini into thin half-moons.
Cut button mushrooms into medium-sized cubes.
Start making the sauce. Add cottage cheese, yogurt, dry thyme, dry dill, parsley flakes, dry oregano, salt, and pepper in a big bowl. Whisk them until combined. The sauce needs to be runny, so the casserole will not be dry. Add more yogurt or a splash of milk if necessary.
Add cooked pasta, zucchini, and mushroom to the sauce. Toss until combined.
Transfer to the baking dish, and sprinkle finely grated cheese on the top.