On April 23, 2014 United States Senator Ted Cruz upload at photograph to facebook.com which shows him and United States Senator Mike Lee posing with a rug made out of the skin of a tiger. ( https://www.facebook.com/photo.php?fbid=533539860091652&set=a.4192083748... ) The caption of the photo clearly indicated that the purpose of the rug is to decorate a government office: "Did a little shopping for the office with United States Senator Mike Lee in Houston today."
When it comes to illegal trade in the United States only the illicit trade in drugs trumps the illegal trade in exotic animals. ( http://www.tigersinamerica.org/illegal.htm )
The Federal Bureau of Investigation and Fish and Wildlife Service both are executive branch agencies that have jurisdiction.