While presenting controller use this code:
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:viewController animated:NO];
and when you dismiss, use this code:
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];