I think neither parents could thoroughly teach their children how to be good members in the society, nor (the) school(s) could. It depends on miscellaneous situations and circumstances.

Before going to school, children have a lot of time being with their parents and siblings. Kids would learn how to communicate with people who are much older than them,*1 just like parents. Also, they could learn how to communicate with peers, just like their siblings. Developed(/Educated) such communication ability(/ways)*2 properly during their childhood by parents, children could have a “simulation test” before taking the practical test of enteringin the society. For instance, kids in kindergarten already have their own ability(/way) to communicate with others. Some kids are like the king of children, whereas some are so timid that they cannot express their own opinions well. Therefore, parents, or family (should be more aware that they) have a great influence on how(/the way) children behave before attending school.

However, parents and family cannot teach all of the ways how to be(/being as) good members in the society. After attending school, children would usually make new friends. In the subsequent period of their school life, children would face many challenges, like working with others as a group, or making friends as a group. For example, the cleaning job(s) is(or: stands) always a major part of our school life in Taiwan. They(/We)*3 have to do the cleaning job(s) with others almost everydayevery day*4 in school. As a result, the cooperation and negotiation with others would be a very important task for everyone. They(/We) can learn how to work with others by (the) daily tiny jobs. Those experiences will enrich their(/our) mind and ideas(/thoughts), and thus can improve their(/our) waysability to be good members of society.

As a consequenceFor these reasons*5, I believe that both parents and school have important impact on the possible social behavior of children, and each of them should play their part to teach children how to be good members of society. *6

aaa: correction, suggestion, aaa: deletion

*1 These are the common usages:

I respect someone like my father. ⇒ someone = my father

I respect someone, like my father. ⇒ I = my father

*2 I think "ability" or "skill" is better. Because this is something belongs to him and to be improved. Whereas "Ways" are not.

*3 I think using "They" are proper because the subject here is children. 

*4 "everyday" is adjective.

*5 Please note that the difference between "result(consequence)" and "conclusion". Because you are describing "conclusion" here, I think using "For these reasons" etc. is better here.

*6 It's better to write the conclusion corresponding to the point of question here.

I think you write much better than ever. Please keep it on!