Arduino Recognizing pre-recorded sound clips from an audio stream
The device in question appears to be based on a COB (chip-on-board) version of Sensor Inc.'s neural network voice recognition chips. 

That's mounted on a module and "shield" (barf) made by VeeaR, apparently an Italian company. 

There are open-source voice recognition programs (maybe this one, for example), so this might be appropriate for a reasonably capable processor running Linux- perhaps Beaglebone Black or Raspberry Pi.