How to store variadic template arguments?

To accomplish what you want done here, you’ll have to store your template arguments in a tuple:

std::tuple<Ts...> args;

Furthermore, you’ll have to change up your constructor a bit. In particular, initializing args with an std::make_tuple and also allowing universal references in your parameter list:

template <typename F, typename... Args>
Action(F&& func, Args&&... args)
    : f(std::forward<F>(func)),
      args(std::forward<Args>(args)...)
{}

Moreover, you would have to set up a sequence generator much like this:

namespace helper
{
    template <int... Is>
    struct index {};

    template <int N, int... Is>
    struct gen_seq : gen_seq<N - 1, N - 1, Is...> {};

    template <int... Is>
    struct gen_seq<0, Is...> : index<Is...> {};
}

And you can implement your method in terms of one taking such a generator:

template <typename... Args, int... Is>
void func(std::tuple<Args...>& tup, helper::index<Is...>)
{
    f(std::get<Is>(tup)...);
}

template <typename... Args>
void func(std::tuple<Args...>& tup)
{
    func(tup, helper::gen_seq<sizeof...(Args)>{});
}

void act()
{
   func(args);
}

And that it! So now your class should look like this:

template <typename... Ts>
class Action
{
private:
    std::function<void (Ts...)> f;
    std::tuple<Ts...> args;
public:
    template <typename F, typename... Args>
    Action(F&& func, Args&&... args)
        : f(std::forward<F>(func)),
          args(std::forward<Args>(args)...)
    {}

    template <typename... Args, int... Is>
    void func(std::tuple<Args...>& tup, helper::index<Is...>)
    {
        f(std::get<Is>(tup)...);
    }

    template <typename... Args>
    void func(std::tuple<Args...>& tup)
    {
        func(tup, helper::gen_seq<sizeof...(Args)>{});
    }

    void act()
    {
        func(args);
    }
};

Here is your full program on Coliru.

---

Update: Here is a helper method by which specification of the template arguments aren’t necessary:

template <typename F, typename... Args>
Action<Args...> make_action(F&& f, Args&&... args)
{
    return Action<Args...>(std::forward<F>(f), std::forward<Args>(args)...);
}

int main()
{
    auto add = make_action([] (int a, int b) { std::cout << a + b; }, 2, 3);

    add.act();
}

And again, here is another demo.