How to restore a backup (TWRP) in Recovery-based CM.

Hi all. My device is Samsung Galaxy s2 and I use [ROM][5.1.1] [DIRTY-UNICORNS v9.7] [Dirty Deeds] [OC/TRIM] based on AOSP 5.1.1 (TWRP recovery), I made an advance over TWRP. I want to try the ROM on based CM. What is the procedure if I want to go back to the ROM based on AOSP, because the backup is created through TWRP Recovery and Recovery on based CM does not find a backup created on based TWRP, so I can not restore the original ROM. Thank you for any advice and assistance.