The Rimé movement arose in the late 19th century. While many have considered the Rimé approach to be that of a homogenizing eclecticism, minimizing differences, and trying to blend the unique characteristics of the various lineages into one, this is a misconception. Great luminaries of the Rimé movement would often cite the primary lineage they were initiated into, though they also studied other lineages in depth as well. I think this is an important distinction. Rather than dismissing the differences between the teachings and methods of the various lineages and schools as inconsequential, and trying to promote an ‘everything is really the same’ approach, the Rimé movement emphasized the uniqueness of the various lineages, while simultaneously making the teachings available to others who might not have been exposed to them due to sectarianism. See more here.
[Jamgön Kongtrül Lodrö Thayé was one of the founders of the Rimé movement]