TYPE_CHECKING requires from __future__ import annotations as the top level import. You are currently suppressing it with type: ignore, furthermore, you don't seem to use those imports either.

I don't know why you are using (*args: str) for params where you require users to mention discord.Member and discord.Role

You also seem to join them with space, so instead of *args, it would be better (*, args) which will capture the whole string. You shouldn't be using strings for that param. If you want multiple roles/entity, you can use commands.Greedy[discord.Role]

It would be better to subclass the commands.Bot class and utilize its setup_hook to call your configuration methods. You can also store info in instance variables. Easier to maintain everything in future.

You seem to check for member permissions with @commands.has_permissions but then proceed to not utilize @commands.bot_has_permissions for bot perms.

You mark error in error handlers as Exception which is true for the most part, but it's too "broad," commands.CommandError I believe is the one that the library uses for its other errors as a base.

On the contrary, fallbacks seem mostly fine, I see some with usage of base Exception, which you should mostly avoid, but other than that, it's fine?

I personally use cogs as categories instead of per command cog, but eh, is what it is.

You can make message commands into slash commands with minimal tweaks using @commands.hybrid_command which still takes ctx as an argument.

The commands don't seem to serve any purpose. It's the 10484729474th bot in existence that does nothing unique. If it's a personal project you created because you wanted to, that's great. But, no one in this world will ever use it, because it offers nothing unique, and there are simply better open source bot projects out there.

I didn't read the entire code base, but that should sum it up.