Heat 2 tablespoons olive oil in a large skillet over medium heat.
Add the diced onion, diced green bell pepper, and 4 teaspoons Italian seasoning; cook, stirring occasionally, until the onion is soft and translucent and the pepper is tender, about 8 minutes.
Add the minced garlic and cook, stirring frequently, for 1 minute more.
Stir in the fire-roasted tomatoes, tomato paste, 1 tablespoon honey, 1 1/2 teaspoons kosher salt, and 1/4 teaspoon black pepper. Break up whole tomatoes with a spoon or pulse briefly in a blender before adding if desired.
Bring the sauce to a boil, then reduce heat to low, partially cover, and simmer for 30 minutes, stirring occasionally.
Stir in 1/2 cup minced fresh parsley, then remove the sauce from the heat.
Preheat the oven to 375°F (190°C). Lightly spread a little sauce on the bottom of a 9x13-inch baking pan.
Place a single layer of uncooked lasagna noodles in the pan, breaking them to fit as needed.
Dot half of the ricotta (from the 15-ounce tub) in small mounds over the noodles using spoons, then spoon on one-third of the remaining sauce and sprinkle with half of the grated mozzarella.
Add another layer of noodles, spread the remaining ricotta, top with the next third of sauce, and sprinkle with the remaining mozzarella.
Top with a final layer of noodles, spread the remaining sauce evenly over the top, and sprinkle with 1/2 cup freshly grated Parmesan.
Bake in the preheated oven until bubbly and the pasta is tender, about 45 minutes; if the top browns too quickly, cover with foil for the last 10 minutes.
Remove from the oven and let rest for 5–10 minutes before cutting into squares and serving.