Checkpoint64 has a preset for Minecraft (Feed The Beast): it already knows where the save folder is, backs it up automatically and keeps every version. Everything this site has on Minecraft (Feed The Beast):
Minecraft (Feed The Beast)
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Save file location
Windows:
%LOCALAPPDATA%\.ftba\instances -
Backup guide
A single corrupted region file can wipe a Minecraft world you've built for months. Checkpoint64 backs up your saves folder automatically and keeps every version, so a broken chunk is one click from restored. Free download for Windows, macOS, and Linux.
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Sharing with friends
How to share your Minecraft (Feed The Beast) world with friends, from playing live to taking turns when the host is offline.