How to create a Popover ViewController like Apples one

You have to present a new ViewController in .popover presentation.
Then you customize the presented view controller like you want.
The main View controller should look like this:

class ViewController: UIViewController {

    @IBAction func buttonClicked(_ sender: Any) {
        //get the button frame
        /* 1 */
        let button = sender as? UIButton
        let buttonFrame = button?.frame ?? CGRect.zero

        /* 2 */
        //Configure the presentation controller
        let popoverContentController = self.storyboard?.instantiateViewController(withIdentifier: "PopoverContentController") as? PopoverContentController
        popoverContentController?.modalPresentationStyle = .popover

        /* 3 */
        // Present popover
        if let popoverPresentationController = popoverContentController?.popoverPresentationController {
            popoverPresentationController.permittedArrowDirections = .up
            popoverPresentationController.sourceView = self.view
            popoverPresentationController.sourceRect = buttonFrame
            popoverPresentationController.delegate = self
            if let popoverController = popoverContentController {
                present(popoverController, animated: true, completion: nil)
            }
        }
    }
}

extension ViewController: UIPopoverPresentationControllerDelegate {

    func adaptivePresentationStyle(for controller: UIPresentationController) -> UIModalPresentationStyle {
        return .none
    }

    func popoverPresentationControllerDidDismissPopover(_ popoverPresentationController: UIPopoverPresentationController) {

    }

    func popoverPresentationControllerShouldDismissPopover(_ popoverPresentationController: UIPopoverPresentationController) -> Bool {
        return true
    }
}

PopoverContentController where you will add your TableView for example

class PopoverContentController: UIViewController {

    override func viewDidLoad() {
        super.viewDidLoad()
    }

    // Custom design&implementation
}

This worked for me. This may help you.

      var dropDownView : DropDownView!

Setup the dropdown view

dropDownView = Storyboard.Main.instantiateViewController(withIdentifier: "DropDownView") as? DropDownView
    self.dropDownView.delegate = self       
    self.dropDownView?.preferredContentSize = CGSize(width: 200, height: CGFloat((dropDownView.listArr.count) * 35))
    let presentationController = AlwaysPresentAsPopover.configurePresentation(forController: self.dropDownView!)
    presentationController.sourceView = sender
    presentationController.sourceRect = sender.bounds
    presentationController.permittedArrowDirections = [.down, .up]
    self.present(self.dropDownView!, animated: true)

//MARK:- Delegate method of present controller : Opens Dropdown view on click of view more icon

class AlwaysPresentAsPopover : NSObject, UIPopoverPresentationControllerDelegate {    
private static let sharedInstance = AlwaysPresentAsPopover()

private override init() {
    super.init()
}
func adaptivePresentationStyle(for controller: UIPresentationController) -> UIModalPresentationStyle {
    return .none
}
static func configurePresentation(forController controller : UIViewController) -> UIPopoverPresentationController {
    controller.modalPresentationStyle = .popover
    let presentationController = controller.presentationController as! UIPopoverPresentationController
    presentationController.delegate = AlwaysPresentAsPopover.sharedInstance
    return presentationController
}
}