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Given its distribution, I would guess that it has different origins in multiple languages. The only highly reliable source I can find is in Polish where it seems to come from two different dialectal sources - a term meaning "lightning" and another one for a type of wedding rite. Source: https://nazwiska.ijp.pan.pl/haslo/print/name/FARION

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The Polish name may share an etymology with the Ukrainian one. According to the Ukrainian Wikipedia page https://uk.wikipedia.org/wiki/Фаріон_(прізвище)# there was a hamlet in the Lviv region called Fariony (Фаріони) which (based on its form) likely received its name from its inhabitants. The Forebears map also shows this surname mainly coming from the Lviv region as well. The Lviv region also borders the Subcarpathian and Lublin regions of Poland which are the main sources of the Polish surname.

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Given Farion's dispersion on the Russian map on Forebears (with no single region having any significant numbers nor numbers significantly higher than the other), my theory is that it only spread to Russia from Ukraine or Poland during the various periods of Russian expansion.

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As for the French surname, I could find no sources about it so I can only speculate. The most plausible origin I can come up with is that the ending -ion (which can be a variant of -on) signifies a diminutive or a demonym. While this opens up many different possibilities, one that stands out to me is the Germanic term 'fara' which means "family" or "family residence" and is the ultimate source of the Fare and La Fare surnames as well as several place names in France and possibly an ancient given name. See https://fr.wikipedia.org/wiki/Fare for more.