Clearly Hume uses eastern concepts ("I" am just a bundle of thoughts; causality is just a projection; etc). And the anti-Aristotelianism of the Enlightenment (hostility to concepts such as substantial form) could be seen as eastern too. I'm not sure if this history has ever been documented though.
The Enlightenment is seen as paradigmatically western, and in a way it is, and yet it tried to reject pretty much the entirety of western philosophy that came before it -- perhaps even under eastern influence.
Stuff is never simple, is it?
I've never read about the eastern connection to the Enlightenment in any place, but lots of references pop up. A translation of the play Shakuntala by Kalidasa seems to have created a bit of stir for instance, even inspiring some of the structure in Faust by Goethe.
As the Enlightenment already absorbed eastern concepts into the western plane to some degree already (see the roots in Hume for instance), the relationship of westerners with eastern concepts as like hiring a consultant to tell you all the things that your employees were already saying, but which were ignored since they were merely grunts.