When present:

CATransition *transition = [CATransition animation];
transition.duration = 0.3;
transition.timingFunction = [CAMediaTimingFunction functionWithName:kCAMediaTimingFunctionEaseInEaseOut];
transition.type = kCATransitionPush;
transition.subtype = kCATransitionFromRight;
[self.view.window.layer addAnimation:transition forKey:nil];

[self presentModalViewController:viewCtrl animated:NO];
 

When dismiss:

CATransition *transition = [CATransition animation];
transition.duration = 0.3;
transition.timingFunction = [CAMediaTimingFunction functionWithName:kCAMediaTimingFunctionEaseInEaseOut];
transition.type = kCATransitionPush;
transition.subtype = kCATransitionFromLeft;
[self.view.window.layer addAnimation:transition forKey:nil];
[self dismissModalViewControllerAnimated:NO];
 

FOR PUSHING THE VIEWCONTROLLER FROM LEFT TO RIGHT:

CATransition* transition = [CATransition animation];
    transition.duration = .45;
transition.timingFunction = [CAMediaTimingFunction functionWithName:kCAMediaTimingFunctionEaseInEaseOut];
transition.type = kCATransitionMoveIn;
transition.subtype= kCATransitionFromLeft;
[self.navigationController.view.layer addAnimation:transition forKey:kCATransition];
NameViewController *controller = [[NameViewController alloc] init];
    [self.navigationController pushViewController:controller animated:NO];

FOR POPPING THE VIEWCONTROLLER FROM RIGHT TO LEFT:

CATransition* transition = [CATransition animation];
    transition.duration = .45;
    transition.timingFunction = [CAMediaTimingFunction functionWithName:kCAMediaTimingFunctionEaseInEaseOut];
    transition.type = kCATransitionMoveIn;
    transition.subtype= kCATransitionFromRight;
    [self.navigationController.view.layer addAnimation:transition forKey:kCATransition];
     
    [self.navigationController popViewControllerAnimated:YES];