Finely chop or gently blend broccoli and finely dice zucchini, then sauté in a pan with finely chopped onion, salt, pepper, parsley, and oregano.
Cook lasagne noodles and drain.
Mix the broccoli mix with the pesto.
In a baking dish, layer: pesto/broccoli mix, noodles, white sauce and repeat until all are used up, with the final layer being noodles and white sauce.