How to do Authentication/Authorization in react-native with ASP.NET Core backend

I implemented Authentication and Authorization in my MVC project as https://metanit.com/sharp/aspnet5/15.1.php. I have an Account controller that allows Authentication and Authorization:

 public class AccountController : Controller
{
    private UsersContext db;
    public AccountController(UsersContext context)
    {
        db = context;
    }

    [HttpGet]
    public IActionResult Login()
    {
        return View();
    }

    [HttpPost]
    [ValidateAntiForgeryToken]
    public async Task<IActionResult> Login(LoginModel model)
    {
        if (ModelState.IsValid)
        {
            User user = await db.Users.FirstOrDefaultAsync(u => u.PhoneNumber == model.PhoneNumber && u.Password == model.Password);
            if (user != null)
            {
                await Authenticate(model.PhoneNumber); // аутентификация

                return RedirectToAction("Index", "Home");
            }
            ModelState.AddModelError("", "Некорректные логин и(или) пароль");
        }
        return View(model);
    }

    [HttpGet]
    public IActionResult Register()
    {
        return View();
    }
    [HttpPost]
    [ValidateAntiForgeryToken]
    public async Task<IActionResult> Register(RegisterModel model)
    {
        if (ModelState.IsValid)
        {
            User user = await db.Users.FirstOrDefaultAsync(u => u.PhoneNumber == model.PhoneNumber);
            if (user == null)
            {
                // добавляем пользователя в бд
                db.Users.Add(new User { PhoneNumber = model.PhoneNumber, Password = model.Password });
                await db.SaveChangesAsync();

                await Authenticate(model.PhoneNumber); // аутентификация

                return RedirectToAction("Index", "Home");
            }
            else
                ModelState.AddModelError("", "Некорректные логин и(или) пароль");
        }
        return View(model);
    }

    private async Task Authenticate(string phone)
    {
        // создаем один claim
        var claims = new List<Claim>
        {
            new Claim(ClaimsIdentity.DefaultNameClaimType, phone)
        };
        // создаем объект ClaimsIdentity
        ClaimsIdentity id = new ClaimsIdentity(claims, "ApplicationCookie", ClaimsIdentity.DefaultNameClaimType, ClaimsIdentity.DefaultRoleClaimType);
        // установка аутентификационных куки
        await HttpContext.SignInAsync(CookieAuthenticationDefaults.AuthenticationScheme, new ClaimsPrincipal(id));
    }

    public async Task<IActionResult> Logout()
    {
        await HttpContext.SignOutAsync(CookieAuthenticationDefaults.AuthenticationScheme);
        return RedirectToAction("Login", "Account");
    }
}

It is saving Authentication data in Cookie. It is working fine. What is the best way to use this in the react-native app?