help要加ing原因是：前面的动词短语 give up 经常搭配名词、代词、动名词作宾语,接动名词时即,give up doing sth.放弃做某事.
Parents shouldn’t give up helping their children
句意：父母不应该放弃帮助他们的孩子.
The young shouldn't give up taking care of the old.
年青人不应该放弃照顾老年人.