AEM has a good write-up on their website about cleaning dry-element re-useable air filters.
I believe the Mopar one is by AEM, so that's why I reference them as a source.
They have a specific cleaner for the filters that you spray on it followed by rinsing the filter with warm or cool water ( from the inside out) so as debris doesnt get embedded in the filter.
After that, just let the filter fully dry before re-installation.
Mopar probably sells a specific cleaner for these filters. However, dry element re useable filters are very popular and common now, similar to gauze type oiled filters, and you may be able to find a more accessible or less expensive cleaner at the local parts store.
I would post a link to AEMs website, but was not sure if I was allowed to do so here. The instructions are under AEM filter Cleaning. There are instructions for both Dry Element and Oiled, fyi.
--Glenn