I have an 8013 as well that I acquired used. it was pre-rooted, but the custom recovery on it didn't work for newer roms. I looked into installing TWRP and found that although the official TWRP instructions said you could install it from GooManager, when I tried to, it didn't find a recovery for the device.
I did successfully get TWRP installed quite easily using their alternate instructions, though. here's a quick breakdown, especially since their instructions are a bit vague.
1. download the .img file for the recovery from here: http ://teamw.in /project/ twrp2/110 (remove the spaces; I can't post outside links yet.)
2. in either terminal emultor or through adb shell, run the command shown below, replacing the bracketed sections with the path and filename of the .img file:
dd if=/<File path>/<filename>.img of=/dev/block/mmcblk0p6
For example, say you save it in your downloads folder on the internal sd card. The path is probably something along the lines of /storage/sdcard0/Download/openrecovery-twrp-188.8.131.52-gt-n8013.img
If you get the path or filename wrong when you runthis command, it will just tell you that it could not find the file you told it to write. if you get the second part wrong, however, you could brick your device, so make sure you double and triple check that part.
Another good check to do before running the command is to ensure that your download is not corrupt by checking the md5 checksum. To do this, make sure you copy that when you download the file and then check using a file browser that supports it. I use Explorer (by Speed Software) to check the md5. To see it, long press the file and click properties. If the one given when you downloaded it and and the one you get from the file do not match, your download likely got corrupted and you should try again until they do match. It's rare, but you don't want to flash a corrupted recovery, so do check it.
The command itself can either be run from an app like terminal emulator or over adb (android debug bridge) from your computer using the command:
adb shell <command>
I followed this basic procedure and now have a fully functioning TWRP recovery on my 8013. Best of luck to you in getting yours working.