The previous post on scientism and purpose was accurate enough up to a point, but when theologically inclined thinkers try to get specific they will bungle the whole question.
As I noted in that post: treat yourself to a case where the issues are clear, and you can do the job right: the eonic effect as a pattern of historical directionality. We see how a teleological system might operate. Note that ‘teleology’, pace Kant, is a phenomenal/noumenon casualty: we never really see ‘teleology’, we see instead the phenomenal aspect in a natural context. How would that work? No amount of philosophy will help. An example is needed, and that given in the eonic effect, though partial, is a spectacular possible answer: the noumenal ‘teleology’ shows a phenomenal cyclicity as its exemplar in the form of directionality.
Note that temporal observers may be unable to verify teleology because they don’t see the ‘end’ of a process. They might predict, but maybe not. Directionality is less stringent: you can see the relative progression of something in stages, suggesting a progession toward a ‘teleo’, but then again maybe not.