I am developing an app which contain twitter and facebook login. Using Account Store framework it is worked fine. But I want to create a custom login view through twitter or facebook. Some tutorial prefer STTwitter/MGTwitterEngine framework. Can I develop my with by using these framework?
There is nothing against using a third-party framework in an iOS app. If you can code it correctly, it should fly on the App Store.
A quick Google on MGTwitterEngine shows you how much usage there is in iOS 7 for this framework.
Also, using Accounts.framework doesn't prevent you from customizing your login view and most certainly doesn't require you to use a completely separate API/toolset for the device.