The prosecutor issued a new detention order for Morsi over his comments that judges had rigged a 2005 parliamentary election, state media MENA reported Saturday.
Morsi, who is already being held by the military at an unknown location, refused to cooperate with prosecutors, according to MENA.
"The investigative prosecutors accused Mohamed Morsi of insulting the judiciary by accusing 22 judges of forging parliamentary elections in 2005," the agency reported, without providing details.
In 2005, the Brotherhood was a banned organization but allowed to run candidates as independents for parliament under then president Hosni Mubarak, who was overthrown in 2011 by a popular uprising.
The Brotherhood won a fifth of seats in parliament then.
Last week, prosecutors referred Morsi to trial for allegedly inciting the murder of protesters outside his palace in December 2012.
The military overthrew Morsi on July 3 following massive protests demanding his resignation after only a year in office.
The popularly backed removal of Morsi by the army, referred by some as a coup, ushered in a fierce crackdown against his Muslim Brotherhood movement in which more than 1,000 people have died.
SHI/SHI