The company, which reported revenue of $32m last year, is a major supplier to 7-Eleven stores in the Chicago area.
This acquisition comes after the Greencore's acquisition of Marketfare Foods, a manufacturer of food-to-go products, in April 2012.
Greencore CEO Patrick Coveney said that Schau, along with Marketfare, will allow the company to take a strong step forward in executing the next stage of the strategy in US.
"Greencore now has a Food to Go platform in the US that will not only enable us to better serve our existing customers, but also to support what is a significant and exciting new business opportunity," Coveney added.
Greencore plans to fund transaction through existing debt facilities, and expects the transaction to be modestly earnings accretive from the first year of ownership.