What vegetables do you cook with most often? Why?

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Here\'s the correction for your homework. I also added some details as per your request.

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I usually use green-onion when I cook.
>>CORRECT!
 I think that I use it once a day.
>>CORRECT!
OR: I think I use it every day.
 As you know, It has many nutrition.
>>As you know, it has a lot of nutrients. (MANY are mainly used in negative sentences and questions. For example: There are not many chairs in the room. With affirmative sentences, we prefer A LOT OF instead of much/many. )
That is why It goes well with other food.
>>That is why it goes well with other foods. (We do not capitalize \"it\" in this sentence.)
 A lot of chef make develop a various cooking utilize green-onion. The taste is great.
>>Many chefs use green onions for a variety of delicious dishes. (grammatical error)
If we dont use it, Cooking taste might be not good.
>>If you don\'t use it, the food might taste bad.
recently I watched TV at home.
>>Recently I watched TV at home. (Capitalize the first word of a sentence.)
OR: I recently watched TV at home.
One of TV participants told us that the green-onion is best food for our health
>>One of the participants said that green onion is one of the best food for our health. (grammatical error)