Is it grammatically correct?
He is such a man who is liked by everyone.
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No, it is not grammatically correct. Here are your alternatives, assuming a conversation in which this type of man is being discussed, for example:
There are some men who are universally liked...
He is such a man, one who is liked by everyone.
He is such a man, one liked by everyone.
Or with [ellipsis] in a disjunct clause:
He is such a man— [he is one] who is liked by everyone.
He is such a man— [he is] liked by everyone.
He is a man who is liked by everyone.
He is a man liked by everyone.