This word is a mix ( Sandhi ) of two hindi words Avadh ( Ayodhya ) and Esh (Lord) which means " The Lord of Ayodhya ".
We can refer to Lord Ram or any other king of Ayodhya as Avadhesh.
A small piece of information. Derived from the word ken, used often in the scottish language and is synonymous with knowledge.
Person 1: "Hey I don't get this shit. How do you solve this problem?"
Person 2: "I got that one. Give me some kenlets on this assignment and I'll help you w/ that one."