Hi mahesh213,
In MyAuthenticationFilter set class instance to public.
Refer below example.
MyAuthenticationFilter
public class MyAuthenticationFilter : ActionFilterAttribute, IAuthenticationFilter
{
    public CustomerRepository _customerRepository = new CustomerRepository();
    public void OnAuthenticationChallenge(AuthenticationChallengeContext filterContext)
    {
    }
    public void OnAuthentication(AuthenticationContext filterContext)
    {
    }
}
public class CustomerRepository
{
    public int Id { get; set; }
}
Class
public class Customer
{
    MyAuthenticationFilter myAuthenticationFilter = new MyAuthenticationFilter();
    public CustomerRepository GetObjectValues()
    {
        CustomerRepository repos = myAuthenticationFilter._customerRepository;
        repos.Id = 1;
        return repos;
    }
}
Controller
public class HomeController : Controller
{
    public ActionResult Index()
    {
        Customer customer = new Customer();
        ViewBag.Message = customer.GetObjectValues().Id;
        return View();
    }
}
View
@{
    Layout = null;
}
<!DOCTYPE html>
<html>
<head>
    <meta name="viewport" content="width=device-width" />
    <title>Index</title>
</head>
<body>
   @if (ViewBag.Message!=null)
   {
       @ViewBag.Message
   }
</body>
</html>