Save data under a ordered core data relationship

In my swift code below the goal is to save a string to a core data relationship. In class two there is a func that adds a string to the tableview in that class. But that added string is only displayed under the name that is selected in parent class View controller. I have added a gif below to show what I am looking for.

r8tNa

class ViewController: UIViewController, UITableViewDataSource, UITableViewDelegate {
    
    
      var managedObjectContext: NSManagedObjectContext?
    var items : [Person]?
    
    let context = (UIApplication.shared.delegate as! AppDelegate).persistentContainer.viewContext

    
    func tableView(_ tableView: UITableView, didSelectRowAt indexPath: IndexPath) {
        if let person = self.items?[indexPath.row].name {
            let vcx = Two()
            vcx.valueMove = person // Assign the name to valueMove property
            vcx.modalPresentationStyle = .overCurrentContext // or .fullScreen
            self.present(vcx, animated: true)
        }
    }
  
}



class Two: UIViewController, UITableViewDataSource, UITableViewDelegate {
    var nameLabel = UILabel()
    var twoTableA = UITableView()
    var addB = UIButton()
    var data = [String]() // Data source for the table view
    var backButton = UIButton()
    var valueMove = String()
    
    override func viewDidLoad() {
        super.viewDidLoad()
        
        view.backgroundColor = .white
        
        [twoTableA, addB,nameLabel,backButton].forEach {
            view.addSubview($0)
            $0.translatesAutoresizingMaskIntoConstraints = false
            $0.layer.borderWidth = 1
        }
        
        addB.backgroundColor = .purple
     
        
        
        nameLabel.text = valueMove
        
        NSLayoutConstraint.activate([
            
            nameLabel.topAnchor.constraint(equalTo: view.safeAreaLayoutGuide.topAnchor),
            nameLabel.heightAnchor.constraint(equalTo: view.heightAnchor, multiplier: 0.10, constant: 0),
            nameLabel.widthAnchor.constraint(equalTo: view.widthAnchor, multiplier: 1, constant: 0),
            nameLabel.leadingAnchor.constraint(equalTo: view.leadingAnchor),
            
            
            twoTableA.topAnchor.constraint(equalTo: nameLabel.bottomAnchor),
            twoTableA.heightAnchor.constraint(equalTo: view.heightAnchor, multiplier: 0.40, constant: 0),
            twoTableA.widthAnchor.constraint(equalTo: view.widthAnchor, multiplier: 1, constant: 0),
            twoTableA.leadingAnchor.constraint(equalTo: view.leadingAnchor),
            
            addB.topAnchor.constraint(equalTo: twoTableA.bottomAnchor),
            addB.heightAnchor.constraint(equalTo: view.heightAnchor, multiplier: 0.10, constant: 0),
            addB.widthAnchor.constraint(equalTo: view.widthAnchor, multiplier: 1, constant: 0),
            addB.leadingAnchor.constraint(equalTo: view.leadingAnchor),
            
            
            backButton.topAnchor.constraint(equalTo: addB.bottomAnchor),
            backButton.heightAnchor.constraint(equalTo: view.heightAnchor, multiplier: 0.10, constant: 0),
            backButton.widthAnchor.constraint(equalTo: view.widthAnchor, multiplier: 1, constant: 0),
            backButton.leadingAnchor.constraint(equalTo: view.leadingAnchor),
        ])
        
        backButton.backgroundColor = .systemTeal
        backButton.setTitle("back", for: .normal)
        addB.setTitle("Add", for: .normal)
        addB.addTarget(self, action: #selector(addJohnson), for: .touchUpInside)
        
        backButton.addTarget(self, action: #selector(back), for: .touchUpInside)
        
        twoTableA.dataSource = self
        twoTableA.delegate = self
        twoTableA.register(UITableViewCell.self, forCellReuseIdentifier: "Cell")
    }
    
    var managedObjectContext: NSManagedObjectContext?
    @objc func back(){

        let controller = ViewController() // Assuming HomeVC is the view controller class you want to present
        controller.managedObjectContext = self.managedObjectContext
        controller.modalPresentationStyle = .fullScreen // or .overFullScreen or any other style you prefer
        self.dismiss( animated: true, completion: nil)

 
    }
    
    
    @objc func addJohnson() {
        data.append("Family Member")
        twoTableA.reloadData()
    }
    
    // MARK: - UITableViewDataSource
    
    func tableView(_ tableView: UITableView, numberOfRowsInSection section: Int) -> Int {
        return data.count
    }
    
    func tableView(_ tableView: UITableView, cellForRowAt indexPath: IndexPath) -> UITableViewCell {
        let cell = tableView.dequeueReusableCell(withIdentifier: "Cell", for: indexPath)
        cell.textLabel?.text = data[indexPath.row]
        return cell
    }
}