iPhone touch id cable disconnection... will touch id work?

I pressured very hard on home button few days ago.

Once touch id doesn't work, and even home button stopped working yesterday.

I updated my phone to 9.2, error code 53 came out, restore and update were impossible.

So I disassembled it carefully, and I found that home button cable is disconnected.

I heard replacing home button makes touch id useless(not working).

In this case, is that possible to make my touch id works?

If it is able to fix, please let me know what product I have to buy.

I took a picture of it.