In a large mixing bowl, combine the lean ground beef, ground pork, soft white breadcrumb pieces, chopped fresh parsley, minced oregano, finely shredded parmesan cheese, egg, salt, and freshly ground black pepper. Gently toss and break up the mixture with your hands to evenly coat and distribute all ingredients, but take care not to overwork it for the most tender meatballs. Shape the mixture into very small meatballs, about 3/4 inch to 1 inch in diameter. Place the formed meatballs onto a large plate.
Heat 1 tablespoon of olive oil in a large non-stick skillet over medium-high heat. Working in two batches to avoid overcrowding the pan, add half of the meatballs from Step 1 and cook until browned on 2 to 3 sides, turning occasionally, about 4 minutes total. Transfer browned meatballs to a plate lined with paper towels. Repeat with the remaining meatballs, using the same oil in the skillet. The meatballs will not be cooked through at this point, as they'll finish cooking in the soup.
While the meatballs are browning, heat 1 tablespoon of olive oil in a large pot over medium-high heat. Add the diced carrots, chopped onions, and chopped celery. Sauté the vegetables, stirring frequently, until they've softened, about 6 to 8 minutes. Add the minced garlic and sauté for another minute to bring out its flavor. I find this step really makes the soup base extra aromatic!
Pour the chicken broth into the pot with the sautéed vegetables, then season the soup with extra salt and black pepper to taste. Bring the mixture to a boil over high heat. Once boiling, add the uncooked pasta and the browned meatballs from Step 2. Reduce heat to medium-low, cover, and simmer, stirring occasionally, for about 10 minutes or until the pasta is tender and the meatballs are cooked through. During the last minute of cooking, stir in the chopped baby spinach until wilted.
Serve the soup warm in bowls. Sprinkle each serving generously with extra finely shredded parmesan cheese before serving. For an even brighter finish, I sometimes like to add a squeeze of fresh lemon juice just before eating.