When you are cooking rice and using the dressing in that rice, you always add it after things are finished cooking. You lose too much of the flavor of the oil and garlic/herbs if you cook it into the food throughout the cooking process. You can warm things up if you are afraid you will alter the food temp too much. Just do not heat it too much - only warm it. I will even add the "marinade" after the baking of the tofu, to retain the flavors. It will do well in the hotbox at holding temperature - enhancing the tofu even if it is only steeping for 10 - 15 minutes.
Play with the flavors in the dressings until you find a good balance. You will be surprised how much the dressing for the rice can give it the flavor of a chicken broth being used.