How Kabuto could reincarnate or manifest Hidan (in an anime filler)? In episode 290 of Naruto Shippuden, Kabuto creates Hidan from thousands of tiny snakes. But by looking at the eyes of manifested Hidan, it seems like an Edo-Tensei. And Kabuto mentions it himself.

Hidan isn't dead! Then how can he be reincarnated? What Jutsu is that?? 

In the manga of course there is no confusion..

But for that episode I am trying to find the logic. Do you have any thoughts?
The Hidan in that filler is not necessarily the real Hidan. You said it by yourself "Kabuto creates Hidan from thousands of tiny snakes" which proves my point here. In Naruto we see many things created from snakes, in this case, It is Hidan. 
The directer of this filler tried to make his story interesting but he failed miserably as you can see. This filler overlaps with the real story making the answer for your question not very logical. This is as far as you can get with this event.