Solution
When using a third-party EtherCAT master with NI slaves, it is important to update the firmware for the NI slave chassis. The firmware is available as a part of the NI-Industrial Communications for EtherCAT driver download.
You can find the firmware file located in the NI-Industrial Communications for EtherCAT driver's directory:
C:\Program Files (x86)\National Instruments\NI-IndCom for EtherCAT\NI 9145\NI-9145_rev25_3.foe
where NI-9145_rev25_3.foe is the firmware file.
Look into your third-party EtherCAT master's documentation for information on how to upload the firmware (.foe file) onto the EtherCAT slaves.