Welcome to the forum, Jdsaun.
Hyundai has in previous years "officially sanctioned" recreational towing (flat towing, 4-down) with some of its FWD manual transmission models. However, I see they are following other manufacturers over the last few years in not allowing it at all. I believe that none of their 2019 models are "sanctioned" or authorized by the manufacturer to be flat towed.
The early Velosters were sanctioned by Hyundai to be flat-towed from 2012 to 2018 but ONLY with a manual transmission.
As you may know, FWD vehicles with manual transmissions generally have the "ability" to be flat-towed. However, Hyundai has never approved their automatic transmission cars to be flat-towed.
I think you're out of luck being able to flat tow your automatic transmission Veloster but we'll see if any Hyundai owners chime in with their opinions. I'd say if it was a manual, there may be a chance even though the manufacturer no longer approves it but an automatic, I almost positive that you'll be out of luck.
eta: I'm going to respectfully disagree with some of what Healeyman is saying but also agree with some of what he says too. I don't think you can generally say with a blanket statement that just because base plates are made for a car, it's flat-towable.
I do agree, however, that many vehicles that are not on the flat-towable list or cars that their manufacturers do not "officially sanction" like the Miata, can be towed 4-down. Examples of this are many. VWs and Minis are ones that come to the top of my mind. VW and Mini have never "officially sanctioned" their vehicles to be flat towed even if they are FWD and have manual transmissions. However, many are flat-towing both those vehicles 4-down (FWD with manual transmission) and base plates are readily available for them.