We were originally using this mod for our Minecraft server to link the Discord and Minecraft chats, however we switched to this mod due to it having a better look and more features in general.

https://github.com/chunkaligned/fabric-discord-integration

However there is one thing the mod above contains that this one doesn't (at least to the best of my knowledge), which is the ability to check the current players on the server from Discord using a bot command (done using mc!players). Is there any way to implement this?

You can already do it through the !playerlist command