Ian Durrant has been demoted from his role as a first team coach. The former Ibrox midfielder will now take charge of the club's under-20s side.
Ex-Rangers striker Gordon Durie, who was under-20s coach, will help Kenny McDowall with first team matters, as will club captain Lee McCulloch.
McDowall was made caretaker boss after McCoist was placed on gardening leave on Sunday night.
Durrant played for the Ibrox outfit from 1984 to 1998 and returned to the club as a coach in 2005.
The 48-year-old was part of the backroom team under previous boss Walter Smith and McCoist.