Latin isn't a single style, it's a jazz musician blanket term referring mainly to Caribbean (mostly Cuban) and Brazilian music-- usually when someone says "Latin" in that setting, they mean samba, bossa nova, or a mambo-type feel.
The best in-depth books I've seen are by Ed Uribe-- he has a Brazilian book and an Afro-Cuban book. They're both very heavy. The Cuban book especially won't do you much good in the short term.
For Brazlian styles, the best short volume I've seen is by Daniel Sabanovich. I also wrote a concise style guide for playing samba and bossa nova
in a combo setting.
For Cuban styles you could get the Frank Malabe/Bob Weiner book. Or you could just go to my site and get the pages for Mozambique
and maybe Guaguanco
, and learn those. Learning the Mozabmbique groove, samba, and bossa nova should cover you for the audition.