Disclosed are combination radio frequency identification (RFID) and electronic article surveillance (EAS) tags and methods of producing such tags using a converting machine. The method is characterized by feeding a first roll carrying first type inlays and a second roll carrying second type inlays into a converting machine; and, transferring, using the converting machine, the first type inlays to a surface of the second type inlays, thereby forming a two-layer tape carrying pairs of first and second type inlays, each of the pairs comprising an RFID inlay and an EAS inlay, wherein there is no overlap of an RFID antenna element of each RFID inlay and an EAS antenna element of a paired EAS inlay, and wherein the RFID inlay and the EAS inlay of each pair are functionally independent.