"Its parasympathetic fibres synapse in the pterygopalatine ganglion, with post-synaptic parasympathetic efferent fibres continuing to innervate the lacrimal, nasopharyngeal, and palatine mucosal glands 3."
Line 3:84·Only use medical adjectival hyphens where the letters at the end and start of the compound word are the same, e.g. post-transplant. In this case, don't use the hyphen: 'post-synaptic'.