Solution
As you see in NI MAX(Measurement & Automation Explorer), the ethernet adapter 'eth0' is only for TCP/IP network. So, the adapter mode of 'eth0' isn't configurable. If you need to use sbRIO for EtherCAT Master, you should set up the ethernet adapter 'eth1' as an EtherCAT. It is also same with other RIO system, such as CompactRIO.
However, you can't use directly ethernet adapter 'eth1' on the board of sbRIO because 'eth1' is reserved at RMC(RIO Mezzanine Card) connector pin. It means that you should develop a daughter board for using sbRIO for EtherCAT master device. Both RMC connector pin number and recommended circuit schematic for designing a daughter board is mentioned at
NI sbRIO-9627 User Manual and
NI sbRIO-9607/9627 RIO Mezzanine Card Design Guide . The following image is about GBE Reference Schematic.
So, for using a EtherCAT port in sbRIO, you should develop daughter board with reference to the above information.