Per Diamondback's sleeve-sticking problem, what I found was that the inner sleeve might buldge a little after gluing to the limb and therefore fits too tight in the outer sleeve. Or, it will just be too tight for comfort from the beginning.
Either way, wax the inner sleeve to see if it will then slide in and out. If not, pull it out and use sandpaper where the wax shows rubbing, then polish with steelwool, then rewax and try again. Repeat as necessary.
If the sleeve is assembled and will not pull out, put the sleeve/bow in a vise and gently squeeze the sleeve from front to back while pulling out the inner sleeve. Increase vise pressure slightly as needed to free the inner sleeve.
The wax should come with the handles as it can make an impossible sleeve combo assemble perfectly fine.