I have to do a post modern intepretation of any pasage within the Gospel of Luke and I do not understand what this approach is and how it works within biblical hermeneutics. Can someone explain?
The term postmodern, by it's very nature, could mean a number of things, but you're probably looking for a type of textual criticism known as deconstructionism. The chapter on “The Literary/Postmodern View” in the following book may help you with further information.
Biblical Hermeneutics: Five Views (Spectrum Multiview Books) | Logos Bible Software
What Jacques Derrida never dreamed of.
Three Categories of Biblical Interpretation (stmarytx.edu) gives you a solid overview.
Besides deconstructionism, think all the advocacy Biblical interpretations (feminist, Afro-American, post-colonial ...), reader-response, liberation, cultural-literary criticism(sometimes)
