Is it obligatory to give away money earned from committing sodomy after repentance, knowing that this money has been fully spent?

If money was received in exchange for an immoral act, it is not permissible for the recipient, nor is it lawful for them to benefit from it. There is no obligation to return it to the payer. This money is illicit due to how it was acquired, and the way to dispose of it and complete repentance is by donating it as charity. If the questioner has already spent all of this money, then their repentance nullifies what came before it, and they are not obligated to give charity equivalent to its amount. However, if they do so, it is good.