Here you will get explanation of the different remotes for the mini key tool incl.
Wired means you physically hook a wire to the remote from the keytool to the remote in order to transfer the software onto the key for the particular car you want to use the remote on.
Wireless transfers the software onto the remote wirelessly by just having the remote next the the keytool. This avoids you having to hook a physical wire between the tool and the remote
(Thanks to Edward Sturm for his explanation)
Look here: xhorse wired/wirless remote