Place cubes of tofu on half of a kitchen towel, then gently fold the other half on top. Place a heavy weight on top, then press and drain the tofu.
Preheat an oven, then line a baking sheet with parchment paper. Place the pressed tofu in a large bowl, then season with sesame oil and soy sauce. Toss well, then sprinkle on cornstarch, tossing gently to thoroughly and evenly coat the tofu.
Pour the dredged tofu onto the baking sheet, ensuring it’s in a single layer with a little space between each cube. Roast, flipping the tofu once halfway through cook time.
Place brown sugar,Dijon, remaining soy sauce, sesame oil, chopped garlic, and ground ginger in a medium saucepan, then place over medium-high heat. Bring to a boil and whisk until the sugar is dissolved.
Give it a good toss, then serve over rice with sliced scallions and your favorite veggies or use however you like!