one-pot cauliflower bolognese lasagna

Name: one-pot cauliflower bolognese lasagna
Cuisine: European, Italian, Mediterranean
Ingredients: 2 tablespoons olive oil; 2 tablespoons of butter or ghee; 4 ounce shiitake mushrooms, finely chopped; ½ small white onion, finely chopped; 2 medium carrots, peeled and finely chopped; 2 celery stalks, finely chopped; 2 cloves garlic, finely minced; 1 medium head of cauliflower, finely chopped / ‘riced’; ¼ cup vegan cream cheese; 1 28 ounce jar crushed tomatoes; 1 package of gf lasagna noodles, broken into pieces (I used these); Basil, parsley to garnish; Pink salt or sea salt; Freshly ground black pepper; Zest of 1 lemon; Vegan parm or Pecorino (optional)