Kopi luwak, also known as civet coffee, is a coffee that consists of partially digested coffee cherries, which have been eaten and defecated by the Asian palm civet (Paradoxurus hermaphroditus). The cherries are fermented as they pass through a civet's intestines, and after being defecated with other fecal matter, they are collected.

https://en.m.wikipedia.org/wiki/Kopi_luwak

It tastes smoother and is good. Their digestion of the beans strips the outer layer of the bean and changes the flavor.

Is it better? Not really. I have had it in Bali from a farm and it was very smooth. Turkish coffee is better.