[Galaxy Tab 3 Q&A, Help & Troubleshooting] r3actor:
Thanks ZmisiS for your post!

I found a guide to install TWRP recovery v3.0.2.0 different way. It was posted on a russian site. (I think most of you already heard about it, name starts with number 4)

Credits for this guide goes to a guy who posted it there. It's grinjuk1999. THANKS!

Short 'translation':

---------------------------------

Works for SM-T113/SM-116. Root is required.

instruction:

1. download twrp.img file

2. copy twrp.img onto your sdcard (in this case that's internal storage)

3. install Terminal Emulator for Android

4. start 'Terminal Emulator' and type these two lines:

[b][COLOR="RoyalBlue"]su[/COLOR][/b] <press enter>
[b][COLOR="RoyalBlue"]dd if=/sdcard/twrp.img of=/dev/block/platform/sprd-sdhci.3/by-name/RECOVERY[/COLOR][/b] <press enter>

---------------------------------

^ when you enter first line 'su' and press enter, SuperSu will probably ask if you allow 'Terminal Emulator' to get root access, so confirm that you allow it.

After 2nd command line was finished, simply exit 'Terminal Emulator' and shut down your tablet by holding 'POWER' button pressed. After manu appears release 'POWER' button and select 'shut down'

Now, to enter TWRP recovery you need to press and hold 3 buttons: HOME+POWER+VOLUME UP

note: keep in mind, you may have 'trouble' at first to enter twrp easily like I had, because this tablet is 'kinda sensitive'. When you press and hold ^ above mantioned 3 buttons, wait till you first see on your display 'Samsung Galaxy Tab 3 Lite', and then wait only 1-2 sec and release all 3 buttons.

I had trouble because everytime I was releasing 'POWER' button, tablet would shut down. I even waited till I completly enter TWRP, but again, after releasing 'POWER" button, tablet went offline.

So, you just need to have good timeing when releasing buttons.

Note 1:

twrp.img file that I got from russian site was uploaded directly on their site, and I can't share their link here. I tried to find a way to upload that file here as an attachment but I don't see that feature available to me (probably because im a newbie and have not much posts). I found one hoster that will allow you to download that file, but I don't know for how long it will stay available. So, I'm kindly asking if some senior members here can download that file and re-upload it directly on xda-developer site, and make it available for future users without fear that the file-hoster I used will delete it and leave other people interested without it.

I tried to upload file on some well known cloud servers, like google drive, dropbox, mega, yan disk, mediafire etc, but they all require an account there before I can upload and get a link for share. And since I didn't wanted to upload a file on my personal accounts which I might delete it in the future (and leave you all interested without working download link), I picked up this file-hoster which will serve it's purpuse until someone, hopefully, re-up the file on xda-dev server and share it.

Note 2:

If someone wants to know if this will work for SM-T113NU, I don't know. Creator said it will work for SM-T113 and SM-T116. He said nothing about SM-T113NU model. Since I'm not an expert, I can't confirm if it will work for 'NU' model. But, if I'm allowed to guess, then I 'guess' that it may work, since 'rooting' SM-T113 with files found in this topic, works for SM-T113NU as well (confirmed that root works here ). Again, I advise you to research more until you find someone with SM-T113NU model that can confirm that it works, before you proceed.

Ok, thats it. Sorry for long text. I hope someone may find it useful. :)

^ If you can, (and have that feature available to you), please re-up the file that I posted on xda-dev forum server and post the link for it. Don't just take what you need and leave. :)