When a sentence has a compound subject with a singular subject conjoined by
neither /nor or either/ or, then the verb must agree with the subject closest to
the line of separation.
Neither the panda bear nor the zebra eats red meat for dinner.
Either the eggshell or my finger nail has ruined the soup. Neither Connie nor Dolorous wears lip stick. Either Eddie or Morris is guilty of the unsolved crime.
Neither the moon nor the river brings me luck. Neither the panda bear nor the zebras eat red meat for dinner.
Either the eggshell or my finger nails have ruined the soup. Neither my girlfriend nor our mothers wear lip stick. Either my friends or my mother is guilty of the unsolved crime.
Neither the moons nor the river brings me joy