Turkic groups were most probably living in present-day eastern Siberia.[1] Nomadic tribes from Siberian forests (taiga) migrated to Asian Steppe (bozkır), where they built their legendary city: Ötüken (present-day Mongolia). As Bilge Khagan Inscription (from Orkhon Inscriptions) states, Türük Kağan Ötüken yış olursar ilte bun yok (If Turkish king lives in Ötüken, there will be no angst in Turkish country).[2]

So, Northeastern Asia was motherland for Turkic groups, not the other way around.

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[1] Histoire des Turcs (Chapter II), Jean Paul Roux

[2] Bilge Khagan Inscription (North Facade, second line)