Hi Rhonda, yes the Baumea sp. are now recognised as Machaerina, if you look at each member of the family you will see the Baumea name is regarded as a synonym. Juncus edgariae and Juncus gregiflorus are two different species which were clumped together as one until this pare was published "Johnson, L.A.S.; Wilson, K.L. 2000: Juncus edgariae (Juncaceae) - a new species from New Zealand. Telopea 9: 399-402," find it on Google scholar and have a read to find the differences between the two.