The Chöd tradition, which originated with the tibetan woman Machig Labdrön (1055-1153), was never organized as a monastic Order but rather was a tradition maintained by reclusive mendicant yogis whose "Mahāmudra Chöd" practice become integrated into most orders of present day Tibetan Buddhism.
The primary Chöd lineage of the Gelug Order is a combination of a "long" or "distant" lineage as well as a "close" transmission lineage. "Close" or "near transmission lineages" are more recent and issue from of termas or pure visions realizations. "Distant transmission lineages, on the other hand, have been handed down over numerous generations from one disciple to the next.
The Gelug Chöd "distant" lineage was originally transmitted to Machig's son Khugom Chöki Sengye who later passed it down according to the table below to members of the the present day Gelug Order. Additionally, Je Tsongkhapa also received a "close" transmission from Pawo Dorje who himself had numerous (almost daily) pure visions of the Bodhisattva Mañjuśrī.

Below you find a schematic overview of these two lineages.