Joej1990
For PS1 and PS2 you need the correct Bios files. See within bios-folder for the readme/notes.txt and within ES Main Menu, Game Settings, Missing BIOS (this shows you, for which systems the bios files are still missing).
The bios files have to be named correctly and they must have the correct md5 hash (there are tools to check md5 hash, just google it). Somewhere on youtube there is a link to a site, where you can download full bios pack for batocera (just search for it).
You can also have a look into the wiki for more information about Batocera (Bios files, controller setup, supported hardware, settings etc.) here:
https://batocera-linux.xorhub.com/wiki/doku.php?id=en:start
Which kind of Xbox 360 controllers do you use? Official Microsoft? Wired (USB ) or wireless (with USB wireless receiver)?