All the shields that have been officially tested are in the Shields Test Report, unfortunately there isn’t information about this shield in it.
I took a look at the EasyVR Shield 3.0 - Voice Recognition Shield - COM-13316 - SparkFun Electronics, I saw that the shield is compatible with Arduino Duemilanove, Arduino Uno, Arduino Mega, Arduino Leonardo and Arduino Due but there isn’t information about the Galileo, it seems that it hasn’t being tested for them yet. Have you tried to contacted them? https://forum.sparkfun.com/
Looking into the libraries in the link above, they were made for the Arduino boards and not for the Galileo. I suggest you to contact SparkFun in order to know if they have a library for the Galileo board.
If they don’t have a library to use in the Galileo, you will need to modify those libraries in order to make it work or you can create your own libraries.