The link below is to a musical performance of the Mongolian band The Hu on The Tonight Show Starring Ankhbayar. No, I hadn't heard of the show either, but it's from Central Television in Mongolia. What grabbed my attention is that the set visuals, show title graphics, and even how the host introduces the band borrow heavily from East Coast Jimmy's version of The Tonight Show. I don't think we have something along the lines of Craig Ferguson and Arthur or David Letterman and Harald Schmidt, but it's in the ballpark.
Based on this promo video (with a blink and you'll miss it shot of Radio City Music Hall) that has an NBCUniversal logo at the end, this was probably licensed.
FWIW, one of Fallon's many forgettable game shows, "That's My Jam" was sold to Central Television a couple of years ago, and Fallon even did a promo video for it.
Best,
David