How can I atone for taking my mother's gold without her knowledge and causing the maid to be falsely accused?

Repentance from theft is obligatory. The conditions for accepted repentance include returning the stolen items—which are gold—directly to the mother, or returning their value while seeking her forgiveness, provided that no harm results from doing so. Otherwise, it can be returned by any means, such as being presented as a gift. It is also obligatory to seek forgiveness from the maid who was accused because of this theft.