NEW YORK — The only other time the Moscow theater company visited the United States — in 2004, for Lincoln Center Festival — it still had its leader, the renowned Russian director Piotr Fomenko.

He was 80 when he died last August, and it is one of his productions, an adaptation of Leo Tolstoy’s novella “Family Happiness,” that Theatre-Atelier Piotr Fomenko is performing on its current American tour, which opened a week ago at the Baryshinikov Arts Center in Manhattan and alights at the Cutler Majestic Theatre for two performances Saturday and Sunday.