That cross on the end looks like a lathe mark.Does the smaller part move or come out of the larger?My first thought was a turkey call but something dosn,t seem right for that.Can,t help any more than that my friend.
I think it is a child's baseball bat that has been turned down to make some special tool for the owner. Semi drivers could use it to thump tires, making sure they are not flat. This is my first thought for it's use.
Fishermen could use it as a Shark " knocker." Others could use it as a weapon.
Are we over-thinking this? I wouldn't pay too much attention to the marks on the ends. They look to be from it having been gripped in a lathe to turn it, which would explain why they are the same on both ends. I think it unlikely it saw any kind of kitchen use that would require it to be washed afterwards because of the cord tassels on the handle.
With a 'business end' of fifteen inches, it would be about right for a 'night stick' (billy club). Those used by law enforcement were better made and usually marked with a name or an authority, but civilians used them too. Night watchmen and others employed for security of premises. Those can be more simply made and not marked.