The correct option is A was
It is to be kept in mind that Either, Neither, Each, Everyone, Many a, must be followed by a singular verb.
'Neither of the two men' means none of the men. So, we count the men individually. By the general convention, a singular noun takes a singular verb. Hence, Option A 'was' is correct and Option B 'were' is incorrect.
Options C and D are incorrect because they are irrelevant to the context.