In a large Dutch oven or nonstick stockpot, heat olive oil over medium-high heat.
Add onions and sauté 3-5 minutes, until translucent.
Add in vegan sausage, using a wooden spoon to break it up into crumbles. Cook the sausage for 3-5 extra minutes, until browned.
Stir in the minced garlic and cook for another minute.
Add in tomato paste, tomato sauce, and crushed tomatoes, along with the vegetable broth, basil, and oregano.
Bring the mixture to a boil and stir in the lasagna pieces (or another ruffled pasta of choice). Reduce heat slightly and allow to boil gently for 15-20 minutes, until the pasta is cooked to preference. Make sure to stir occasionally to keep the noodles from sticking together.