I have contacted WorldBridge and they sent me below:
Thank you for contacting WorldBridge Service, The UK Border Agency's Commercial Partner. We appreciate your patience regarding the response to your enquiry as WorldBridge strives to provide the most accurate responses to all enquiries. Below you will find the response to that enquiry.
If you are a national of a country covered by the DATV system, you may be able to transit the UK airside without a visa. To qualify for this exemption:
you must arrive and depart by air; and
your onward flight must be confirmed, and must depart within 24 hours; and
you have proper documentation for your destination, including a visa if necessary.
Egypt is a country covered under the DATV system.
Given the information provided, your husband would not need a visa to transit the UK, however the final decision is dependant on the discretion of the border officers once he has arrived at the airport.
So basically at the end it depends at the current mood status of the border officer

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As an update Irish Embassy called my husband today to show them residence permit in Cyprus (it is called there YELLOW SLIP) actually he has only receipt from Cypriot Immigration that documents to grant have been filed and he is awaiting decision. He said that to lady while applying for Irish visa and offered her copy of the receipt but she said it is fine, today she called to bring her an original, just wondering why.