When her son is kidnapped by a mysterious man, a flippant young woman teams up with an ancient wizard and her protege to rescue her son from his abductor’s diabolical plan for immortality.

Hello dakofman; interesting logline.

First, I find the word 'flippant' an odd choice to describe a mother whose baby has just been kidnapped.

Second, I am not sure you need to add "her protege" to the logline as it clogs things up.

Third, "Mysterious" doesn't tell us anything about the bad guy.

However, for the most part all the elements are here in the logline. This just needs tweaking. How about something like this:
------
"After her baby is kidnapped, a desperate woman teams up with up with and ancient wizard to rescue her son from an evil sorcery, before he is sacrificed to the blood moon."
-----

Hope that helped, good luck with this!