Remove the reconstituted sun-dried tomatoes from the water and roughly chop them up. Add them to the sauce along with the pureed roasted peppers. Simmer the sauce until it thickens up, 7-8 minutes.
While the sauce is simmering, make a spinach pesto by adding the spinach, pine nuts, and remaining 3 cloves of garlic to the bowl of a food processor. Pour in a couple of tablespoons of EVOO and pulse the machine until everything is chopped up. Stream in the remaining 2/3 cup EVOO and add the Parmigiano. Transfer pesto to a mixing bowl and season with salt and freshly ground black pepper. Stir in the ricotta cheese and egg, and reserve.
Assemble the lasagna by ladling a small amount (about 1/2 cup, just eyeball it) of the red sauce into the bottom of a 13x9" baking dish. Top the red sauce with three lasagna noodles and cover those with 1/2 of the spinach pesto mixture. Top the spinach pesto with three more lasagna noodles then ladle half of the remaining red sauce on top of that. Cover that layer with three more noodles and top them off with the remaining spinach pesto. Place your last three noodles over that layer and spoon the remaining red sauce over the top. Sprinkle the cheeses on top and cover the pan with aluminum foil.
Bake the lasagna for 30 minutes, then remove the foil and bake 15 minutes more the cheese is bubbly and melted.