I think OODA is fundamentally different to Auftragstaktik.
Auftragstaktik describes a clear purpose / intent. Like: capture the bridge (but: we don’t care how you do it since we can’t foresee specific circumstances)
OODA describes a process of decision making.
So, Auftragstaktik answers who decides what and why.
OODA answers how decisions are made and updated over time.