The cage from a rival (or force or apex) of the 10 speed mechs will swap in. However, looking at the third pic on the last page it looks like the screw in the plastic body that holds the cage in place is still in the body, so I wonder if there has been damage inside the body when the cage was pulled out? Also, unless you've got a scrap rival mech to borrow parts off it may be cheaper just to buy a new complete mech as SRAM spares are few and far between and expensive.
The cage from a rival (or force or apex) of the 10 speed mechs will swap in. However, looking at the third pic on the last page it looks like the screw in the plastic body that holds the cage in place is still in the body, so I wonder if there has been damage inside the body when the cage was pulled out? Also, unless you've got a scrap rival mech to borrow parts off it may be cheaper just to buy a new complete mech as SRAM spares are few and far between and expensive.