Can we build authenticated encryption using Feistel Networks? Most of the encryption modes of Feistel Networks especially the ones used to build fixed length block ciphers just provide confidentiality . 

Can we build authenticated encryption using Feistel Networks ?
The simple way to build authenticated encryption using a Feistel Network is to build a Feistel based block cipher, then use one of the many modes of operation that turn a block cipher into an authenticated encryption scheme (eg CCM,OCB,GCM).

For a good survey on the subject of modes-of-operation I would recommend this paper by Rogaway. It does not cover the very most recent designs (such as those discussed at DIAC'13) but covers the more accepted methods in a reasonable amount of detail.