How i can push new view when i use coordinator with mvvm-c Rxswift?

Maybe this example will help you:

//
//  ExampleLiftData.swift
//
//  Created by Daniel Tartaglia on 2/18/20.
//  Copyright © 2020 Daniel Tartaglia. MIT License.
//
import UIKit
import RxSwift
import RxCocoa
import RxEnumKit
import EnumKit

// MARK: - ExamplePresenter
func presentExample(window: UIWindow) {
    let value = PublishSubject<String>()
    let storyboard = UIStoryboard(name: "Example", bundle: nil)
    let controller = storyboard.instantiateInitialViewController() as! ExampleViewController
    let action = controller.install(viewModel: exampleViewModel(value: value.asObservable()))
    _ = action
        .filter(case: ExampleAction.showRequest)
        .flatMap { [unowned controller] _ in
            presentRequest(on: controller, title: "", message: "Add how much?")
        }
        .bind(to: value)
    window.rootViewController = controller
}

enum ExampleAction: CaseAccessible {
    case showRequest
}

// MARK: - ExampleViewModel
func exampleViewModel(value: Observable<String>) -> (ExampleInput) -> (ExampleOutput, Observable<ExampleAction>) {
    return { input in
        let state = value
            .compactMap { Int($0) }
            .scan(0, accumulator: +)
            .startWith(0)
        return (
            ExampleOutput(text: state.map { "\($0)" }),
            input.buttonTapped.map { ExampleAction.showRequest }
        )
    }
}

struct ExampleInput {
    let buttonTapped: Observable<Void>
}

// MARK: - ExampleView
class ExampleViewController: UIViewController, HasViewModel {
    @IBOutlet weak var button: UIButton!
    @IBOutlet weak var label: UILabel!
    var buildOutput: (ExampleInput) -> ExampleOutput = { _ in fatalError() }
    private let disposeBag = DisposeBag()
    override func viewDidLoad() {
        super.viewDidLoad()
        let input = ExampleInput(
            buttonTapped: button.rx.tap.asObservable()
        )
        let output = buildOutput(input)
        output.text.bind(to: label.rx.text).disposed(by: disposeBag)
    }
}

struct ExampleOutput {
    let text: Observable<String>
}

// MARK: - AlertPresenter
func presentRequest(on root: UIViewController, title: String, message: String) -> Observable<String> {
    let result = PublishSubject<String>()
    let controller = UIAlertController(title: title.isEmpty ? nil : title, message: message.isEmpty ? nil : message, preferredStyle: .alert)
    controller.addTextField(configurationHandler: { $0.keyboardType = .numberPad })
    let ok = UIAlertAction(title: "OK", style: .default, handler: { [unowned controller] _ in
        result.onNext(controller.textFields?[0].text ?? "")
        result.onCompleted()
    })
    let cancel = UIAlertAction(title: "Cancel", style: .default, handler: { _ in
        result.onCompleted()
    })
    controller.addAction(ok)
    controller.addAction(cancel)
    root.present(controller, animated: true)
    return result
}

Learn more at https://github.com/danielt1263/RxEarthquake