How does one choose and discuss any two Indian English poets and justify liking them?
The first step to figuring out which two Indian English poets you like and justifying your reasons is exploring some Indian English poets. There are probably others, but a few to consider are three poets who lived during the 1800s, especially during the time that England was seizing more and more power over India, eventually making India part of the British Empire in 1858: Henry Derozio (1807-1831), Kasiprasad Ghose (1809-1873), and Michael Madhusudan Dutt (1824-1873).
When considering the poets, look through several of their poems. Consider things like subject matter, language, and structure. Do you find any of the poem's topics intriguing or inspiring? One thing to consider is that both Derozio and Ghose wrote poems that reflect on India's subjection to British rule. Is that a topic you could consider interesting?
Other than looking at poem topics, also take a look at the language. Derozio especially uses some beautiful imagery, such as in "The Harp of India," he refers to his country India as lonely and hanging on a "withered bough." He further refers to India's culture as "music once was sweet" and speaks of England's "fatal chains" that bind India. Are those images you can find intriguing and captivating? In contrast, Ghose does not use many images in his poem "A Symbol of Promise," except for in the lines, "I plumb the depths / Of light," meaning I test the depths of light. Since light is something we can see, light counts as a visual image. Instead, he uses some metaphors, such as "Every life is a rich / Storehouse / Of experience" and "Every life / Is a symbol of / Promise." Does the absence of imagery and the presence of figurative language interest you? Something else that may be of interest is the structure of this poem in contrast with Derozio's sonnets. Ghose breaks lines up in unusual places, leaving single words and phrases all alone on single lines. Do you think this division emphasizes certain words, like "Storehouse," "Not," "Every life," and "Promise," and does this method of emphasizing words and points through structure interest you?
Essentially, the possibilities are endless when analyzing poetry. Once you take a closer look at the poems, you should be able to notice things that interest you, helping you make your choices and write about them.