Well, if you are using the Everstone correctly in X and Y, then your game may be glitched. If one of the parents hold an Everstone and breeds, then that parent's nature will be guaranteed to pass down the nature. So, you shouldn't be getting different natures. So assuming this parent actually has a Jolly nature, then your game may be glitched.
As for the ability, just continue trying, I guess. Sychronize and Trace are both normal abilities, and should be a 50% chance to get any ability. So just keep trying.
Hope I helped. :)
Source: Experience