The phrase "none of the two" can be replaced with several different synonyms that convey the same meaning. For instance, "neither of the two" and "none of either" work well in describing a situation where there are two options available, but neither of those options will suffice. Other synonyms include "none of the pair," "neither one," and "none of them." Each of these phrases conveys the idea that the options presented are inadequate or unsatisfactory for the situation at hand. In general, substituting these phrases for "none of the two" can give your writing a more precise and nuanced feel.