There used to be a service where it was possible to lodge copies of foreign marriage certificates with the GRO, but this has now been discontinued, and was only ever for UK citizens in the first place.
The UK government will recognise a foreign marriage, given a few basic requirements, such as:
- The marriage is legal under local law
- Both parties have capacity to marry according to the laws of their country of domicile (i.e. are of age) and any previous marriages have been legally terminated (i.e. by divorce) in the eyes of the UK.
- You can provide proof of the marriage in the form of a marriage certificate or equivalent (if not already in English, then you will need some sort of certified translation)