The labour union is negotiating a contract with the hospital that will satisfy the demand of the workers and be accepted to all levels of management.
I was asked to find out a mistake in the sentence above. I thought it to be the phrase "be accepted", considering it sounds a little awkward and also not parallel to the tense of the verb "will satisfy" used previously in the sentence. I was told the sentence has no error. Why is my explanation wrong in this case?