Mr Byron, a security manager, entered no pleas.
The charges follow a police investigation into allegations of the theft and re-sale of computer games, DVDs and CDs brought into the prison for repackaging.
They have been suspended from the prison.
Two others have also been charged in connection with the police probe.
Toni Corrigan, 29, and Charlie Corrigan, 25, both from Bury, are charged with money laundering. They both entered not guilty pleas.
A district judge declined jurisdiction.
All four were bailed to appear at Manchester Crown Court on November 7.
The prison off Agecroft Road is run by private operator Sodexo Justice Services [just another bunch of cowboys, like G4S and Serco...ed.] and houses around 1,500 men.