Heat a large deep skillet over medium heat and add a splash of extra virgin olive oil.
Add the finely chopped garlic and sauté until golden and fragrant, about 30–60 seconds.
Add the ground turkey and cook, breaking it up with a spoon, until no longer pink.
Stir in the diced fresh tomatoes and 1/4 cup water, then simmer for about 15 minutes.
Season the sauce with dried oregano, salt and black pepper, tasting and adjusting as needed.
Add the lasagna noodles, tearing them as needed to fit and distributing them evenly into the sauce; press them down so they are submerged and layered.
Reduce heat to low, cover the skillet, and simmer for about 10 minutes or until the noodles are cooked through.
Turn off the heat, sprinkle the grated Parmesan and diced mozzarella over the top, then cover again until the cheeses melt, about 2–4 minutes.
Drizzle with a little extra virgin olive oil, garnish with the finely chopped parsley, and serve.