IPA: //ʌnˈrɛdʒəˌnɛtli//
KK: /ʌnˈrɛdʒəˌnɪtli/
In a way that shows a lack of change or improvement, often referring to someone who does not repent or reform.
He continued to act unregenerately, ignoring all advice to change his ways.
Unregenerately → It is formed from "un-" (meaning not), "regenerate" (from Latin "regenerare", meaning to be born again), and "-ly" (meaning in a manner). The word describes a manner of being that is not born again or not renewed.
Think of 'not' ('un-') being 'born again' ('regenerate') — that's why 'unregenerately' means not in a renewed manner.