Without a photo, no-one can comment.
DNO = District Network Operator which is who operates the network in your area as opposed to who actually supplies you with electricity.
1. If it is metal, it needs changing by DNO.
Typically hessian covered PILC (lead covered) cable, terminated with pitch, the terminations get old & begin to get a bit toasty eventually.
2. If it is metal & dual fused, it needs changing PDQ by DNO!
There was a replacement program to change them.
3. If the supply cable has cable clamps hanging off it (TN-S) as well as an earth terminal build into the side of the cutout (TN-C-S).
The DNO or DIY has bodged it which requires fixing by the DNO.
4. If there is any damage, broken fuseholder, evidence of the metel tail conductors visible or cotton covered rubber tails.
They need changing PDQ by the DNO!
5. DNO wooden board is damaged, loose. DNO must replace.
Your equipment can be fitted to the DNO board only if there is an easement in the house deeds, which is pretty unlikely unless the house predates the 1960s or some such when it was common for "everything on one single wooden board".
Should be a black plastic cutout, the designs vary.
If there is no earth wire, MEB, Main Equipotential Bonding, to gas & water pipes, that needs fixing. The electrician needs to fix that, not the DNO.
Baby + fingers + IP ingress to little fingers <12.5mm IP2x
If the cutout is in the hall wall without a cupboard around it, add one.
The cupboard must not fit to the DNO board, but should surround it sufficiently to stop baby poking around. A simple window-style splined-key lock will work perfectly to prevent access.
There is no legal requirement for service cutout/meter/cu to be boxed in, however to be honest it is well worth doing re "falling ironing boards, stepladders, knocked tins of wallpaper paste, water leaks, DIY experimentation with expanding foam tins (don't ask)".
Need photos in order to comment.
If in doubt, phone the DNO but they may charge if nothing is wrong. In which case you can bill the electrician who should have stated what was wrong and is a moron for not doing so. It may simply be a matter of an isolator being fitted, which on some DNO is chargeable (£20-80) and on others free of charge. I think the original post say E-On in which case it is usually free.
Need more info