Is it permissible to give charity with stolen money with the intention of returning it to its owners, who cannot be remembered or reached, while doubling the amount of charity to compensate for the forgotten sums, in order to preserve one's good reputation after repentance?

Theft is forbidden, and sincere repentance from it is accepted if it fulfills its conditions. The stolen money must be returned to its owners, and it is not necessary to inform them of the theft; rather, it can be delivered through indirect means. Donating the money in charity is not sufficient as long as its owners are known and can be reached. As for those you do not know or have forgotten, donate the money on their behalf with the intention of guaranteeing it should they appear. If you are unaware of the exact amount of the right, strive to return what you believe is most likely to clear your conscience.