Mbalula insisted that he funded the holiday himself. The minister claimed he obtained a loan from Sedgars Sports to help him pay for the trip, which cost over R684,000.
Mkhwebane ordered the National Prosecuting Authority (NPA) to investigate whether the funds were the proceeds of money laundering.
At the time, AfriForum said it would monitor the process and prosecute if the NPA failed to do its job.
As a result of this failure to prosecute, AfriForum said it would be laying criminal charges against Mbalula on Tuesday in a private prosecution.
Advocate Gerrie Nel will lead their team.
Attempts to reach AfriForum and Mbalula for further comments were unsuccessful.