Some investigation is required with regards to the extra set of cables, it could be a second cooking appliance, it could be for a socket, it could be for the extractor fan, so we need to solve that puzzle!
Ideally you would install a new length of cable between supply and new isolator and remove the existing box. But if you intend not to do that then you need to determine what the second set of cable are doing as it may require that isolation and that would then mean replacing that cable or configuring the circuit so the new isolator feeds back to the second set of cables, this could mean installing a second cable between new iso and the existing, then jointing up, you can use correctly rated terminal blocks and blank plate.
Then we need to conform to safe routing of cable and the required additional protection to buried cable less than 50mm in wall, so RCD or mechanical protection needs to be considered.