Ionic framework $state.go('app.home'); is adding back button on page where I want to go (how to remove it)?

Use $ionicHistory in your controller before calling $state.go('app.home').

.controller('HomeCtrl', function($scope,...,$ionicHistory) {
  ...
  $ionicHistory.nextViewOptions({
    disableBack: true
  });

  $state.go('app.home');
});

You can set nextViewOptions before $state.go('Yourstate'). Like In your controller, you can write,

$ionicHistory.nextViewOptions({
  disableBack: true
});
$state.go('app.home');

So for that transition, it will clear the history stack and sets next view as root of the history stack.

At controller which you want to return HomeCtrl:

.controller('SavedCtrl', function($scope,...,$ionicHistory) {
  ...
    $ionicHistory.nextViewOptions({
       disableBack: true
    });

  $state.go('app.home');
 })
.controller('HomeCtrl', function($scope,...,$ionicHistory) {
     $ionicHistory.clearHistory();
 })