The back button's title is derived from the previous view controller's title. So if you want to mirror the text field the back button title, you should pass the view controller's title to the pushed view controller in your prepare for segue method:
/*
* Called in ViewControllerA
*/
if ([segue.identifier isEqualToString:@"ViewControllerB"]) {
ViewControllerB *VCB = segue.destinationViewController;
VCB.previousViewControllerTitleString = self.navigationItem.title;
}
Then you can use the previousViewControllerTitleString property in ViewControllerB to set the textfield's text.