Force deduction of template parameter to reference

The following code does not compile because the compiler deduce a template parameter to be int while it would be required to be int &. See it on Coliru here.

#include <iostream>
#include <utility>

template <class F, class... ArgsType>
void do_something(F f, ArgsType... args)
{
    f(std::forward<ArgsType>(args)...);
}

int main()
{
    int s = 2;
    int i = 1;
    auto add = [](const int a, int& sum) { sum += a; };
    do_something(add, i, s);
    std::cout << s << std::endl;

    return 0;
}

Error:

main.cpp: In instantiation of 'void do_something(F, ArgsType ...) [with F = main()::<lambda(int, int&)>; ArgsType = {int, int}]':

main.cpp:15:27:   required from here

main.cpp:7:6: error: no match for call to '(main()::<lambda(int, int&)>) (int, int)'

     f(std::forward<ArgsType>(args)...);

     ~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

main.cpp:7:6: note: candidate: 'void (*)(int, int&)' <conversion>

main.cpp:7:6: note:   conversion of argument 3 would be ill-formed:

main.cpp:7:6: error: cannot bind non-const lvalue reference of type 'int&' to an rvalue of type 'int'

main.cpp:14:40: note: candidate: 'main()::<lambda(int, int&)>' <near match>

     auto add = [](const int a, int& sum) { sum += a; };

                                        ^

main.cpp:14:40: note:   conversion of argument 2 would be ill-formed:

main.cpp:7:6: error: cannot bind non-const lvalue reference of type 'int&' to an rvalue of type 'int'

     f(std::forward<ArgsType>(args)...);

     ~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Ideally, the third argument of do_something should be deduced as int&. One way to do this is to explicitly pass the template parameters as

#include <iostream>
#include <utility>

template <class F, class... ArgsType>
void do_something(F f, ArgsType... args)
{
    f(std::forward<ArgsType>(args)...);
}

int main()
{
    int s = 2;
    int i = 1;
    auto add = [](const int a, int& sum) { sum += a; };
    do_something<decltype(add), const int, int&>(add, i, s);
    std::cout << s << std::endl;

    return 0;
}

See it on Coliru here.

While the solution works, I find it inconvenient, because it forces me to provide all template types of do_something, which is not optimal especially if, say, I have a more complex example with several parameters, or if I would like to insert the lambda function add directly as a parameter of do_something:

do_something([](const int a, int& sum) { sum += a; }, i, s);

Is there a more convenient way to force just the third parameter to be deduced as int &?