The only place where the word "Orthodox" appears in their website is in their mentioning of the late Fr. Kirk.
I can see no Orthodox church or diocese connections anywhere. Fr. Kirk did not convert to Orthodoxy until late in life. The "roots" of Emmaus House date back to the 60's and were non-Orthodox. Emmaus House became Orthodox when the late Fr. Kirk became Orthodox. Again, it appears to me that they are returning to their pre-Orthodox roots from the 60's.