Final answer:
General Sir Archibald Murray and General Sir Edmund Allenby were the two British commanders who led significant campaigns against the Ottoman Turks in the Middle East during World War I, contributing to the empire's eventual dissolution.
Step-by-step explanation:
Two British commanders who fought against the Ottoman Turks in the Middle East during World War I were General Sir Archibald Murray and General Sir Edmund Allenby. General Murray led the Egyptian Expeditionary Force but saw limited success and was replaced in 1917 by General Allenby.
Allenby revitalized the campaign, and his successes included the capture of Jerusalem in December 1917 and the defeat of Ottoman forces at the Battle of Megiddo in 1918. To aid in the dissolution of the Ottoman Empire, Allenby also supported the Arab Revolt, notably assisting figures like T.E. Lawrence, also known as Lawrence of Arabia. These military actions considerably weakened the Ottoman's control in the Middle East, leading to the eventual dismantling of their empire.