Who was the writer of A Sketch of Anglo-Indian Literature?

The correct option is EF Oaten.

Edward Farley Oaten (commonly known as E. F. Oaten) was an English scholar and writer who served in the Indian Educational Service.
In 1908, he published his pioneering work titled A Sketch of Anglo-Indian Literature, which was based on his Le Bas Prize essay at Cambridge University.
This book is historically significant as it represents one of the earliest systematic attempts to survey and analyze the literature written in English by British writers residing in or writing about India (Anglo-Indian literature).