About 30 to 60 minutes before starting to cook, salt the chopped eggplant in a sieve, toss until covered, and let sit in the sink.
2 medium Japanese eggplants or one small globe eggplant, salt
When ready to cook, rinse off the salt and pat some of the water off with a paper towel or kitchen towel.
Using a large (12 inch) skillet with a lid, heat the olive oil over medium-low heat, and then cook the onion until starting to soften, about 5 minutes.
1 tablespoon olive oil, ¼ cup yellow or white onion
Add the eggplant and cook, stirring occasionally, until the eggplant is starting to brown, about another 5 minutes.
Add the garlic and olives and cook, stirring, for one minute.
2 cloves garlic, 10 to 12 Kalamata olives
Add the canned tomatoes, tomato sauce, and red pepper flakes and stir to combine.
28 ounce can chopped tomatoes, ¼ cup homemade or store bought tomato sauce, 1 pinch red pepper flakes
Add the broken lasagne noodles as a top layer (do not stir them in), cover the pan, and let simmer with occasional bubbles for about 10 minutes.
12 no-boil lasagne noodles
At about the 10 minute mark, stir in the noodles and continue to let the mixture cook, covered and at a simmer, for about another 10 minutes until the noodles are soft. Stir occasionally to prevent sticking.
Add in salt and pepper to taste (I start with ½ teaspoon of salt and ¼ teaspoon of pepper).
Remove from heat and stir in the chopped mozzarella and the Parmesan, reserving a tablespoon or two of the Parmesan for serving.
½ pound fresh mozzarella, ¼ cup (1 ounce) Parmesan
Add the ricotta in large dollops around the pan, but don't stir in. Cover the pan and let it sit for 5 minutes.
1 cup ricotta cheese
Sprinkle with basil and Parmesan and admire your handiwork before serving.
¼ cup fresh basil leaves