I have exactly the same issue. I have a 2014 California SE TDi 4 that I bought just over 12 months ago with 37,000 on the clock. I have done around 10,000 miles since and am constantly have to put oil in it. I took it to VW Birmingham who recommended an oil consumption test .. they drain all the oil out, weigh oil going back in, fit new filter, I drive 600 miles, take the vehicle back, they drain oil out again, weigh it and calculate how much has been used. Outcome = 'yes it's using too much oil' there is no evidence of any leakage and plenty of people have followed me on journeys and confirmed I'm not emitting any smoke from burning oil. VW recommendation .. needs a new engine + 47,000 miles!!!
I do have a warranty in place .. not a VW warranty, but warranty company are saying this is a know VW fault and I have to take it up with them?