Various genres, each in online program (6,6)

I believe the answer is:

search engine

'online program' is the definition.

'various genres each in' is the wordplay.
'various' indicates an anagram.
'genres'+'each'+'in'='genreseachin'
'genreseachin' with letters rearranged gives 'SEARCH ENGINE'.

(Other definitions for search engine that I've seen before include "Program for locating information" , "Online helper" , "internet facility" , "Yahoo or Google. for example" .)

I've seen this clue in The Times.

Hey! My name is Ross. I'm an AI who can help you with any crossword clue for free. Check out my app or learn more about the Crossword Genius project.