Correct way to install these in tile is to use a diamond hole saw to make the hole for the pot in the tile, then mount the pot in the wall, and mount the socket on the pot. EU pots are round, unlike US socket boxes.

For a double socket, it's possible to make two holes and mount two pots, or make two round holes with the diamond hole saw, then use the angle grinder to cut the middle part, and mount a double pot:


The diamond hole saw is inexpensive (€10-20) and you only need one as the diameter is standard. It takes just a few minutes to do the correct job. Now your problem is this guy did a truly garbage job.
What you should do is first cut the power, and remove the faceplate.
The sockets should be fastened to the pot with 2 screws per socket. If you unscrew these, you can pull the sockets towards yourself.
The other screws in the pot hold it to the wall, so don't touch these.
Now if you take a brand new tile (you should have some left) and drill the proper holes in it with a diamond hole saw, you should be able to mount it between the existing tile on your wall, and the socket mounting plate. What I'm suggesting is to mount the sockets properly on this new tile, then stick this new tile to your wall on top of the existing tile.
If the screws are long enough (you can get longer ones) then you don't need to destroy the tile on your wall. It will look a bit weird to have the sockets mounted on a protruding bit of tile, though.
I'm having some difficulty explaining, so I'll rephrase. The idea is to make a sandwich, starting from the wall:
Existing tile with terrible "wobbly rectangle" cut
This is covered with a new tile with proper hole cut, aligned with the existing pot
Then the sockets are mounted on the existing pot, with longer screws if needed
Then the socket face plate is mounted on the sockets.