That means "Merry Christmas and happy New Years" in Armenian. Pronounced "Shnorhavor nor dari yev sourp dznoont"
Armenians tend to celebrate their Christmas January 6th right after new years. That's why "Happy New Years" and "Merry Christmas" are in that order. Some families celebrate both the 25th of December and the 6th of January for Christmas.
So yes, Happy New Years and Merry Christmas.
Oh and by the way, We Armenians tend to celebrate our Easter the same day as the Catholics and Protestants. Just so you'd know.