The duo were red-carded during Monday's semi-final second leg win over Preston at Deepdale but were hoping referee Mike Thorpe would review both decisions.
However, the FA have now advised Leeds that they are unable to appeal against a yellow card shown to one of their players, meaning Kevin Blackwell will be without the pair for the final on May 21.
Crainey picked up his first booking on the hour for time wasting before being dismissed eight minutes later for a 'foul' on David Nugent.
Cresswell was cautioned almost immediately after coming on for Rob Hulse for dissent with nine minutes left before being sent off in stoppage time for supposedly kicking the ball away.