You actually gave three examples that use three different methods of saying "to make." ~게 하다 actually means "to make" as in to cause someone to do something, i.e. 싸우게 하다 is to make someone fight (presumably by teasing them), so you wouldn't use it to say "he made the ramen" for example. To make or create in general is 만들다, which you can use to refer to food, and in terms of food specifically 요리하다 could also be translated as "make." In your final example, you generally use the passive version of 울다 which is 울리다 to say someone was made to cry, but you could use 슬프게 하다 to literally say it made her sad, which roughly translates to the same thing. 그사람은 라면을 만들었어/요리했어요. - He made ramen. (Creating/preparing something so you don't use -게 하다) 태양이 저를 땀을 흘리게 해요. - The sun makes me perspire 그영화를 그여자를 울렸어요./ 슬프게 했어요. - The movie makes her cry. 심한 말로 마음을 아프게 하다 - to hurt someone with strong/harsh words