Heat the olive oil in a large pot over medium heat until shimmering and fragrant.
Add the minced garlic and cook for about 1 minute, stirring constantly, until it becomes fragrant and slightly golden.
Stir in the diced tomatoes and cook for another 2-3 minutes, allowing the flavors to meld and the tomatoes to soften.
Pour in the broth and bring the mixture to a gentle boil, then add the dried basil, salt, and pepper to season.
Add the broken lasagna noodles to the boiling broth and cook for 8-10 minutes, stirring occasionally, until the noodles are tender and cooked through.
Reduce the heat to low and stir in half of the shredded mozzarella cheese, allowing it to melt into the soup and create a creamy, cheesy broth.
Once the cheese has melted and the soup is thickened slightly, ladle it into bowls and sprinkle the remaining mozzarella cheese over the top.
Serve hot, allowing the cheese to stretch with each spoonful and enjoying the layered, cheesy flavors of this cozy soup.