Step 1: Understanding the Concept:
This matching involves didactic literature (animal fables) and devotional hymns (Stotras).
Step 3: Detailed Explanation:
1. Hitopadesha: This collection of fables based on the Panchatantra was authored by Narayanapanditah.
It was written under the patronage of King Dhavalachandra of Bengal.
Matching: A-II.
2. Suryashatakam: This is a collection of 100 verses dedicated to the Sun God.
It was written by Mayurabhatta, the relative/contemporary of Banabhatta.
Matching: B-IV.
3. Panchatantram: The most famous collection of fables for teaching policy ('Niti').
It is traditionally attributed to Vishnusharma.
Matching: C-I.
4. Shivamahimna Stotram: This is a highly popular hymn in praise of Lord Shiva.
Its authorship is attributed to the Gandharva Pushpadantah.
Matching: D-III.
The resulting sequence is A-II, B-IV, C-I, D-III.
Step 4: Final Answer:
The authors matched correctly are A-II, B-IV, C-I, D-III. Hence, Option (A) is correct.