Press tofu. Place tofu on a paper towel lined plate, then cover with another paper towel, and place another plate on top to press the excess liquid out of the tofu. Set aside in the refrigerator for 20 mins.
Prepare dressing. Whisk together all dressing ingredients until smooth. Set aside.
Bake tofu. After the tofu has been pressed, remove from refrigerator and cut into bite size chunks (about 1/2" square). Pre-heat oven to 425° and line a baking sheet with SILPAT (if desired). Toss tofu chunks with sesame garlic sauce and bake for 20 minutes at 425°. Flip tofu, then reduce heat to 350° and bake another 10-15 minutes or until crisp and edges of tofu are browned.
Prepare noodles. Cook noodles according to package directions, ensuring you do not cook them beyond al dente. Drain immediately and rinse in cold water. Shake well to drain water, then toss with dressing to avoid sticking.
Add edamame and carrot ribbons to noodle mixture and mix to coat everything evenly in sauce. Add to serving dish or meal prep container.
Assemble. If meal prepping, lay down a layer of shredded red cabbage in 2nd compartment of meal prep container. Add baked tofu on top.