Add folder on right side of Start menu

I don't think it's possible without custom start menu.
But ,you can add custom folder using favourites trick.
As you can see on image you posted there's a folder called Favorites.

Method 1:
To get this :
Right click on taskbar > Properties > Start menu tab > Customize > Scroll down util you find Favorites menu and tick it > OK > OK
To add custom folder :
Right click on Favorites (in start menu)> Location > paste a link of folder location you wish to add

Method 2:
Right Click on your start button > Properties > Customize > Scroll down until you find Recorded TV > set it to Display as Link > Open Start Menu > right click on Recorded TV > click Properties> Remove all folders there > *To add a folder > Click on Include a folder and find folder you wish to display in start menu.
After you add your folder to rename you Recored TV:
Right Click on Recorded TV > Rename





PS.
There are some scripts on the internet that will allow you to display your folder instead of some other folder (like Pictures) but it can also mess things up.