Prepare the broccoli but cutting off the stems and cutting the broccoli into bite sized pieces. Prepare the brussel sprouts by chopping the woody end off of each sprout and then halving the brussel sprouts. Put the broccoli and the brussel sprouts in a bowl and toss with crushed garlic, olive oil, 1/2 cup of Parmesan cheese, lemon juice, salt, pepper, and red pepper flakes until evenly distributed. Pour the veggies onto a cookie tray lined with aluminum foil and sprayed with nonstick spray. Bake in the oven for 20-25 minutes or until the veggies start to turn golden brown.
While veggies are in oven cook the pasta according to directions on package. When the veggies are done, pour over the pasta and toss together with remaining Parmesan cheese. Enjoy!