It is generally accepted (or at least suggested) that neither should be paired with nor and either with or.
A thorough discussion of this can be found here.
After looking at various sources, the author of the post concludes with
So, is "neither…or" all right to use? No, not in modern usage.
People who have the leisure and inclination to argue about such things are free to do so. Those who just want to write inoffensive standard English are advised to go with the conventional rule that either is used with or and neither is used with nor.
Note well, however, that there seems to be a bit of disagreement on whether or not neither...or is acceptable in some cases. The above post quotes Merriam-Webster as stating:
Although use with or is neither archaic nor wrong, the conjunction neither is usually followed by nor.