Lineage's teachings: their or its teachings?

on the sidebar it read "their teaching" as in of the lineage, but I would think more grammatically correct would be its teachings, the teachings of the lineage. The lineage being an "it", a thing. A tradition too would be an it.

Not a big deal or nothing, but being a bit pedantic, felt I could try to suggest it.

(I thought of sending this through modmail, butI haven't found modmail yet in lemmy? Is it just absent?)