It appears that this action stems from a criminal proceeding, as opposed to a civil proceeding. With this in mind, it is the prosecutor's office who can appeal.
Therefore, I must unfortunately be the bearer of bad news, you cannot appeal. This is because the Court is authorized to give the Defendant any disposition or sentence that is authorized by the law. While restitution would be a possible sentence, the Court did not apply it here because, it looks from the Court's perspective, that is a matter better suited for a civil action, rather than a criminal action.
So, to answer your question, can you appeal the criminal sentencing order? Unfortunately, the answer is no. The prosecutor's office would have to do this. You may try considering speaking with the prosecutor's office to address this issue.
Again, I am sorry to be the bearer of bad news. However, as an attorney, I am duty bound to give individuals a truthful and candid response. It is only in this way I can be most effective in answering questions. Please do not hold this against me.
Please let me know if you have any follow up questions. I would be more than happy to answer them. If not, please remember to click ACCEPT and leave positive feedback so I may receive credit for assisting you today.
***This information is provided for educational and informational purposes only and does not constitute legal advice nor does it create an attorney-client relationship. It is always wise to consult with an attorney in your jurisdiction regarding your legal issue.***