You should not install the Fuji Xerox printer/scanner drivers when using AirPrint as it is supposed to provide that functionality without the vendor drivers whose installation may compromise the AirPrint capability. AirPrint should also allow you to detect and scan using Apple's included Image Capture or Preview utilities.
Once you had added the M225DW into the Printers & Scanners panel with Airprint, you would need to Reset the printing system (control-click on the M225DW entry, choose Reset printing system…) and re-add the device by specifying the newly installed Xerox drivers. That is the only way it would know about their presence.
If you continue to have issues with the Fuji Xerox drivers, contact them for further support of their product.
Although it is common to recommend the paid VueScan Professional product where no vendor scanning functionality can be obtained, VueScan does not support any DocuPrint devices.