?Order †Barinophytales Høeg (1967), nom. inval. see Order Barinophytales Høeg ex Doweld (2001)
   Family †Barinophytaceae Høeg ex H. Banks (1975)
     1 Genus †Barinophyton White (1905)
     2 ?Genus †Barinostrobus Kräusel & Weyland (1941)
     3 ?Genus †Krithodeophyton D.Edwards (1968)
     4 ?Genus †Pectinophyton Høeg (1935)
     5 Genus †Protobarinophyton Ananiev (1956)