The moment you click a character group level in Quick Draw, a window with options will appear. You can can choose 1 of the 4 modes in it. The green and red sectors you are aiming for represent the stroke order hidden and only hints about the character modes respectively.
You can also click on stats just below the character group level (for eg. Stats option below ア イ ウ エ オ level) to check which modes you've completed and their corresponding colors. Hope this helps