Sparrow+ turns Sparrow into the native iOS mail application, it should also send Push notifications, it's available in Cydia

  Sparrow is undoubtedly one of the best mail applications for iOS, but its big problem lies in the fact that it does not natively send push notifications to users. Of course, its developers are working on implementing this functionality, but it is not known when they will offer it on a large scale. Leaving the developers alone, I'm talking about a tweak called Sparrow+ that turns the Sparrow application into the native application for sending emails, but also implements push notifications. Basically, Sparrow+ allows you to open the Sparrow application every time another application asks you to send someone an email, but this does not apply to native iOS applications that also refer to the Mail application.

  Morning I told you that the Sparrow+ tweak is going to be released today in Cydia and that it will bring some interesting functions for us, and now I announce that it can be downloaded. The tweak allows you to partially transform the Sparrow application into the native iOS email client, but on the notification side, it seems that not everything works as it should. Some claim that Push notifications do not work for them, so if you were planning to purchase the tweak, I recommend you to wait.

  Sparrow+ is available for free in Cydia.