Conversions from AXI4-Lite to AXI4 or AXI3, and conversions from AXI3 to AXI4, require no functional logic. Output signals present in the MI-side protocol which are not present in the SI-side protocol are tied off to their default values.
You can also instantiate the AXI Protocol Converter core directly in your design (without AXI Interconnect core) along any pathway between an AXI master and slave device having different AXI protocol interfaces.