In 1914, who controlled the areas shaded in red on the map?

The correct answer is "Great Britain".
Both territories were British colonies at that time. Britain exercised direct control of India after the Indian Rebellion of 1857 against the British East India Company, which led the British to take over this private institution as administrator of the territory. Regarding Australia, the continent was colonized by the British in 1788. This act was seen as a direct reaction for the loss of the North American colonies after the defeat of the British forces in the American Revolutionary War.