Lantry, who had advanced to the quarterfinals before losing his first match, lost an 8-3 decision to Eli Stickley of Wisconsin.
Patrick had his three-match win streak snapped by Oklahoma's Christian Moody who pinned Patrick at the 3:49 mark.
"Overall, a lot of good things we saw this weekend and there's definitely things we need to work on," head coach John Stutzman said. "The big thing is consistency and creating scoring opportunities. We will go back to work."
The Bulls will next be in action on January 7 when they host Columbia.