In a sense, the idea of eternal recurrence (and much of Nietzsche's philosophy) was a direct attempt to reject Eastern (or Buddhist) conclusions.

Schopenhauer had a metaphysics & morality that was fairly consistent with (and maybe informed by) Buddhism - i.e. existence is suffering/dukhka, this arises from will/trishna, and its cessation can be achieved through something that looks like the dissolution of the self.

Nietzsche, who was an avid reader of Schopenhauer, ran with the idea that life was fundamentally a process of will/craving, but spent his career trying to reject the conclusion that this is something to be overcome.

I find Nietzsche's philosophy makes a lot more sense when motivated in this manner.

In no way does Hinduism contrast that. And Yoga is not a religion.

Eternal recurrence is also a Hindu concept. The Eternal part is a little iffy at times though.

https://en.m.wikipedia.org/wiki/Eternal_return