I sold three iPod classics last year because they were so problematic synching, so don't get your hopes up that I'll be able to help.
Which model iPod Classic. The first two generations were firewire and that's no longer supported by Tahoe.
Assuming it's not that old then when you connect it to your Mac does it appear in Finder? If so then restore it and see if that works. If the iPod hasn't been restored properly then it might still be tied to the previous owner's music library.
If it doesn't appear in Finder then use Activity Monitor to kill usbmuxd and ampdevice discovery agent.
If that doesn't work then try deleting AmpDevicesAgent.plist in your user library.
I'm done at this point.
Note that the reason I sold mine was not because of the problems synching from Mac to iPod, it was because of errant behaviour when synching back, particularly play counts not updating after playing tracks on the iPod.
Good luck.