Complex sentence: Baba's wife is annoyed that she has to raise her daughter in such an environment, Baba having earlier promised to start a new life elsewhere, a promise which Baba cannot, or has no intention of fulfilling.
Split into simpler sentences: Baba's wife is annoyed that she has to raise her daughter in such an environment. Baba earlier promised to start a new life elsewhere, but it is a promise which Baba cannot, or has no intention of fulfilling.