Step 1: Understanding the Concept:
The question asks to identify a play by the Buddhist poet-dramatist Ashvaghosha that focuses on the conversion of two young men to Buddhism.
Step 2: Detailed Explanation:
- (A) Sariputra Prakarana: This is a famous play by Ashvaghosha. Its plot revolves around the story of two Brahmin youths, Sariputra and Maudgalyayana, who become disciples of the Buddha, ultimately gaining his favor and becoming his chief disciples.
- (B) Urubhangam: A play by Bhasa.
- (C) Mrichchhakatika: A play by Shudraka.
- (D) Adhe Adhoore: A modern Hindi play by Mohan Rakesh.
Therefore, Sariputra Prakarana is the correct answer.
Step 3: Final Answer:
The play by Ashvaghosha that deals with two young men gaining the Buddha's favor is Sariputra Prakarana.