Pull a plug. That will tell you if you are burning oil or not. If it is oil burning, sounds like you need to do a STOP type kit that Hunterworks used to sell. You will have to make up your own kit like I did, on account they no longer sell it. But parts can be had online for around $120 or less. Good afternoon job.
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A 2013 Teryx2 should have a factory siphon break, my 2011 does. I have seen the 1st Gens. blow oil into the airbox and smoke like hell when the oil is overfilled. Also can be caused by compression blowby into the crankcase from shelled rings, somewhat common on the early Teryx because of less than ideal airbox location/design, and poor air filter maintenance.