The team announced the moves Thursday.
The 6-foot-6, 305-pound Harrison started all eight games he appeared in at left tackle as a rookie for the Browns last season. Cleveland signed him as an undrafted free agent out of West Georgia last year.
Lauderdale signed with the Cardinals in April after spending time with New Orleans, San Francisco, Buffalo and the Arizona Hotshots of the Alliance of American Football. He went undrafted out of New Hampshire in 2017.