Step 1: Understanding the Concept:
Evaluating national government rural development, social security, and financial inclusion programs by their official launch dates.
Step 2: Detailed Explanation:
Official launch dates of the schemes:
1. D. MGNREGA: Enacted in September 2005 (launched in February 2006).
2. B. Pradhan Mantri MUDRA Yojana: Launched on 8 April 2015.
3. C. Atal Pension Yojana (APY): Launched on 9 May 2015.
4. A. Pradhan Mantri Ujjwala Yojana: Launched on 1 May 2016.
Chronological progression starts with MGNREGA (D), followed by MUDRA (B).
Step 3: Final Answer:
Therefore, the correct chronological order is D $\rightarrow$ B $\rightarrow$ A $\rightarrow$ C, matching option (B).