Solution 1:

According to this article, they are on your desktop:
https://forum.feed-the-beast.com/threads/file-locations.2327/

Make a folder named FTB in the AppData\Roaming\ftblauncher folder. Install the launcher there, make a shortcut and move it to your desktop.

This article says it depends on your settings, and you can modify the path from "Options":
https://www.reddit.com/r/feedthebeast/comments/1w6nz6/where_are_the_ftb_files_stored/

Depends on your settings. Go to Options and you can view or edit the path there.

And according to the wiki, files are stored to the location that you installed FTB from (using the launcher) in the first place:
https://ftbwiki.org/Tutorial:Installing_Feed_The_Beast_on_PC

When it has finished downloading, you can move the .exe anywhere you wish, your desktop, My Documents, Downloads. I took a little bit of time and made a .feedthebeast folder in my roaming next to .minecraft. By default, all of the Modpacks will install to the folder you specify to have it download to.