Flag of British Territory of Israel.

In an alternate version of history, the British Empire was  strengthened by the Second World War, rather than weakened. Instead of pulling out of Mandatory Palestine soon after the war, they created two autonomous territories; the British Territory of Israel and the British Territory of Hashemite Jordan. 
The flag of the Territory of Israel is a standard Red Ensign. It is defaced with the coat of arms of the people of Israel. The Menorah flanked by two olive branches is a symbol dating back to Antiquity.