My father doesn't do anything at home.

Literal

Father [topic-は] home [at-で] [contrast-は] nothing does-not [polite-ません].

何も~ない is the standard 'nothing' pattern. The では stacking is notable: で marks the location of action ('at home'), while は adds contrast — 'at home (as opposed to elsewhere), he does nothing.' It implies he may be active outside.