There is a mod called Textile Backup ( https://modrinth.com/mod/textile_backup) that has a know incompatibility with C2ME (https://github.com/Szum123321/textile_backup/wiki/Known-Incompatibilities).
The mod developer for Textile Backup has added a tag to the bug report called wontfix, which implies that they will not be fixing it.

I am wondering if you are able to fix it on your end through C2ME because they will not.

The only alternate I can think of is a computer program, separate from Minecraft, that can do the same thing but I have not found anything or know how to set one up.

I would like this feature because I run a server and use C2ME to increase the chunkloading performance and reduce overall lag on the server. I know that without C2ME the server runs a bit slower(depending on how many carpet bots and players are on, but overall the performance is much better). My server is one where we make a lot of farms and sometimes we might want backups to restore farms before they broke to be able to spare our sanity. Also the rare case where hackers could get onto our server.

Thanks.