Really? Does your government officially call Taiwan "a country"? Show us the proof. Considering only 15 countries in this universe still do this, it's almost safe to guess NO.
I suggest fixing it ASAP. For example, the op can protest to urge his/her government to recognize Taiwan as a country, which will be "a beautiful landscape" as described by Nancy Patricia Pelosi.
Well, in many countries it absolutely is. And there is no way to fix this.
And even if a government was really elected legitimately and chosen not to recognize Taiwan I doubt this meant the people didn't know Taiwan is a de-facto independent country and actively wanted to keep it unrecognized. To be honest I myself have only found out Taiwan recognition is limited a couple of years ago. I always knew there is such a country and never knew about its diplomatic problems.
That a legal government of a modern democratic country cannot represent its people is a horrendous claim. As a strong believer of democracy, I'd rather assume that you were the minority in this case. The everyone claim may hold true for everyone you know (among the minority of your country of course).
As a strong believer of democracy are you naive enough to believe all the elections are perfectly fair, no party at power ever cheats to imitate democracy and that democracy is about everybody sacrificing themselves to obey "the majority"? Do you believe the Democratic Peoples Republic of Korea is actually democratic? Do you believe the Liberal Democratic Party of Russia is liberal?
As believer of HEALTHY democracy, I've never made any such implications. Guys from US/UK/EU claiming Taiwan is a country should go protesting right away, don't let democracy down!
As I already said, if democracy doesn't work in your country, don't waste your time caring about China/TW/HK unless you actually live there.