The couple began dating last summer.
"They broke up shortly before her birthday (last month), then got back together," an insider told UsMagazine.com.
"Joe wasn't that into it," a second source told the celebrity news Web site about the short-lived relationship.
Greene is best known for her work in the "Twilight" film franchise. She will soon be seen in the 1980s movie "Skateland," as well.
Celebrity Breakups and divorces of 2014 [PHOTOS]