要解决不要推根视图控制器的从右到左过渡的问题，可以使用以下方法：

1. 使用自定义过渡动画的方式来替代默认的从右到左过渡动画。

class CustomTransition: NSObject, UIViewControllerAnimatedTransitioning {
    func transitionDuration(using transitionContext: UIViewControllerContextTransitioning?) -> TimeInterval {
        return 0.3
    }
    
    func animateTransition(using transitionContext: UIViewControllerContextTransitioning) {
        guard let fromViewController = transitionContext.viewController(forKey: .from),
              let toViewController = transitionContext.viewController(forKey: .to) else {
            transitionContext.completeTransition(false)
            return
        }
        
        let containerView = transitionContext.containerView
        containerView.addSubview(toViewController.view)
        toViewController.view.frame = containerView.bounds
        
        UIView.transition(from: fromViewController.view,
                          to: toViewController.view,
                          duration: transitionDuration(using: transitionContext),
                          options: .transitionCrossDissolve) { _ in
            transitionContext.completeTransition(true)
        }
    }
}

2. 在需要进行过渡的地方，设置自定义的过渡动画代理。

class ViewController: UIViewController, UIViewControllerTransitioningDelegate {
    override func viewDidLoad() {
        super.viewDidLoad()
        transitioningDelegate = self
    }
    
    func animationController(forPresented presented: UIViewController, presenting: UIViewController, source: UIViewController) -> UIViewControllerAnimatedTransitioning? {
        return CustomTransition()
    }
    
    func animationController(forDismissed dismissed: UIViewController) -> UIViewControllerAnimatedTransitioning? {
        return nil
    }
}

3. 在需要进行跳转的地方，使用present或者push进行跳转，并设置动画为自定义过渡动画。

let viewController = SecondViewController()
viewController.modalPresentationStyle = .fullScreen
viewController.transitioningDelegate = self
present(viewController, animated: true, completion: nil)

通过以上方法，可以实现不推根视图控制器的从右到左过渡的解决方案。