Step 1: Swapanavasadattam.
Bhasa composed this renowned Sanskrit drama.
Therefore, A corresponds to IV.
Step 2: Mudra Rakshasam.
Vishakhadattah authored this political drama set in the Mauryan period.
Thus, B corresponds to I.
Step 3: Naishadheeyacharitam.
Sri Harsha composed this epic poem (Mahakavya).
Hence, C corresponds to II.
Step 4: Shivrajavijayah.
Ambikadattavyasah authored this work in tribute to Shivaji.
Consequently, D corresponds to III.
Step 5: Conclusion.
The correct matching is A - IV, B - I, C - II, D - III.