I look forward to you today my own simple guide for Flashing the Recovery and Rooting the ASUS Transformer Pad TF300TG with Android 4.1.1 and WW_epad-10.4.3.9.
Readme:
Code:
#include
/*
!!! Note that I will not accept any liability if the device should be broken and damage !!!
!!! Your warranty will now void. !!!
*/
1- HOW TO FLASH RECOVERY?
Requirements:
• TF300TG
• Fastboot (Included in Android SDK, or Google for a recent version. SDK is the best way to go.)
• Unlocked bootloader (look on Asus Support Download) or download from Link at the bottom.
First, you need to have installed all the necessary device drivers on your PC.
Next, you need to download "CWM-Flash" CWM-Flash.zip (Just for Jelly Bean ASUS rom).
1- Power off the tablet.
2- Unlock your bootloader with Asus Unlock app
3- Extract downloaded fastboot zip file (CWM-Flash) and put it directly on C partition.
4- Connect the tablet to PC via USB cable.
5- Press and hold the Volume down and power keys.
6- Now you see the white text in the top left (Not the ASUS logo!). When you see that text release the pressed keys.
7- Wait for few seconds, now you can see three buttons in the middle if the screen.
(you have to do this in less than 10 seconds, otherwise your tablet will boot Android OS)
8- Select the USB icon "Volume down" key and select it by using "Volume up key".
9- Now you're in the fastboot mode.
10- Open the extracted fastboot folder on C Partition.
11- Open CMD and type the following command in order to get into the CWM flash folder :
--> cd c:/CWM-Flash and enter!
12- Type/copy paste following command line in the CMD window :
-->
Code:
fastboot -i 0x0B05 flash recovery recovery-jb.img
! Remember : Wait a minute until you've seen in the CMD window that the upload is complete.
13- Next type/copy paste following command line.
-->
Code:
fastboot -i 0x0B05 reboot
! Your device will reboot.
! After a very short second (reboot) you just have to keep "Volume Down", so you come back to the selection menu.
! There default RCK (left selection) is selected. Here you only have to press the "Volume Up" button, so you get to CWM mode!
14- Congratulation, now you're just flash the CMW recovery.
2- HOW TO ROOT?
Requirements:
• CWM-SuperSU-v0.89.zip
Now you only need to download the file "CWM-SuperSU-v0.89.zip" at the Link bottom.
1- Then, you run your ASUS TF300TG on the PC (Disk-Mode!) and put the Zip file under „Download“ folder.
! Remember : Here as a confirmation button is the POWER button and NOT the Volume Up button!
2- So power off the tablet and go in bootloader -> (VOL Down + Power button) in to Recovery-Mode (CWM!) -> here you choose "install zip from sdcard", then "choose zip from internal sdcard" and change in to „Download“ folder and press VOL button and go while down until you see the file (CWM-SuperSU-v0.89.zip) that you have filed under Download folder.
3- Select this file (CWM-SuperSU-v0.89.zip) and the installation will start automatically.
4- Then get out of the CWM recovery and restart TF300TG.
Congratulations! Now you have the root access! 
PS: If all goes well, please do not forget "Thanks" button! thx a lot
DOWNLOAD All-In-One-Paket HERE (All what you need!)
Best thanks @ Frederuco on transformerforums.com
Best thanks @ Auliyaa on xda-developers.com
Best thanks @ XpLoDWilD on xda-developers.com