Preheat oven to 425 degrees Fahrenheit.
Gently rinse your brussels sprouts, cut off the tough ends, then chop brussels in half lengthwise.
With a damp cloth, wipe any dirt off of your mushrooms, and chop them into bite-sized pieces, if need be.
Toss your brussels and mushrooms with 1 1/2 tablespoons of oil, arrange them (cut-side down) on a lined sheet pan, and sprinkle with salt.
Chop your drained tofu into bite-sized pieces, toss with 1 tablespoon of oil, place on lined sheet pan, and sprinkle with salt.
Place both sheet pans of brussels/mushrooms and tofu into your preheated oven for 10 minutes. After 10 minutes, give both pans a gentle stir, and place them back in the oven (on opposite racks) for another 7 or 8 minutes. Watch your brussels closely--burned brussels don't taste very good. Trust me.
While your veggies bake, place all sauce ingredients (garlic, syrup, soy sauce, sesame oil, ginger, cornstarch, and water) in a small saucepan on medium heat. Stir ingredients constantly until sauce begins to bubble/boil. At this point, immediately remove from heat.
When brussels and tofu have baked for a total of about 17 or 18 minutes, remove them from the oven. Combine veggies and tofu onto one sheet pan, and pour sauce over the top. Give the whole thing a toss (and taste, to make sure you're not too salted/unsalted, in which case you could add either water or soy sauce), and return to the oven for just 2-3 minutes. Watch 'em close!
Sprinkle the whole thing toasted sesame seeds and serve on hot brown rice.