It doesn't let me show him my reading list. When i send the url it goes straight to his reading list.
Just let the other guy go to your profile and look at it there. Just make your reading list open to public.
Are you just copying the url when you're on your reading list? You need to link your public reading list, which in your case would be https://www.novelupdates.com/readlist/?uname=Lord Luc