Step 1: Swapanavasadattam.
This is a famous Sanskrit drama composed by Bhasa.
So, A → IV.
Step 2: Mudra Rakshasam.
This political drama depicting the Mauryan period was authored by Vishakhadattah.
So, B → I.
Step 3: Naishadheeyacharitam.
This work is an epic poem (Mahakavya) composed by Sri Harsha.
So, C → II.
Step 4: Shivrajavijayah.
This is authored by Ambikadattavyasah in praise of Shivaji.
So, D → III.
Step 5: Conclusion.
Thus, the correct matching is A - IV, B - I, C - II, D - III.