、。
Mother made me clean the bath.
Literal
Mother [topic-は], me [to-に] bath-cleaning [obj-を] made-do.
The causative ~させる: mother (causer) made the speaker (causee) perform 風呂掃除. The causee is marked with に, which signals 'let/make' with a neutral coercion; を marking the causee instead would emphasize stronger coercion or narrower focus. 風呂掃除 is a noun-compound; さ せる is the full causative of する, here with the light-verb pattern [noun]+を+させる.