You're taking that quote very much out of context.I think Kakashi say he can see the future cause Obito said "I'll see the future with you as my eyes" something like that
it doesn't know. it predicts. according to the movement of the muscles and "energy's flow" in the body.ohhh
then why can the sharingan know how the people move that watches the future
This ^^if the Sharingan could see the future than the massacre of the Uchiha people would've been impossibleYou're taking that quote very much out of context.
It was a dying mans last wish that his best friend should have his eye to replace the one he lost. The quote is simply a philosophical reference that Obito's eye will "live on" with Kakashi.
On topic, no, it has never been shown, anywhere, not even reference that the Sharingan is capable of such.