It is not possible to register a marriage in the UK that took place abroad, however, it is possible to get your marriage documents certified for the UK which should allow them to be used as valid documents in the UK.
To get your marriage documents certified for the UK you must visit the British Embassy in Egypt. The information and address for this embassy are here:
British Embassy in Cairo, Egypt
7 Ahmed Rageb StreetGarden City, CairoEgyptCity: Cairo
When you visit the embassy you will need a copy of your marriage documentation. You will then have to pay for the documentation to be certified, if the documentation is in Egyptian you will also have to pay to have the documentation translated into English.
The fees for this process can differ, so you will want to contact the embassy beforehand to find out what the actual costs of this are.
Hope this helps Hassan, wishing you all the best.