Is R going to meet Shanks eventually?
As in to actually have a talk with him?
I'm not too sure if he will, it really depends and his chance to do that was during the little heist he did at the Marineford, though he was occupied with saving Luffy.
And for him to have a talk with Shanks, he'd have to actively seek him out, but in his mind he has no reason for doing so. If you ask R, Shanks is just another strong pirate in that world, and it's for the best to not meddle with a yonko unless the captain so wishes.
Denden Tea is supposed to be following the canon closely, though the addition of R does change some things around (re: Ace and Whitebeard are both alive), but he also is aware that certain things must happen for the sake of the story progressing and more over Luffy to become stronger. He doesn't know/remember why Luffy needs to become stronger, but he tries to make it so that it will happen nevertheless, even if it does mean that he has to avoid being present at key happenings though he sometimes slips due to the need to be present and bear witness (again, leading to Ace and WB surviving and R convincing others that the world is better off believing that they were dead, Luffy included).
So whether or not R will meet Shanks, officially, depends on the chapters that happen outside of the canon events that we are aware of and would mean that either Shanks or R decided to find the other one. Neither one of them have a reason to do so as of this moment.