"It is vital that Hong Kong's high degree of autonomy and the rights and freedoms set down in the Sino-British joint declaration are respected", she said, noting the anniversary of the handover of Hong Kong to China this week.
Monday marked the 22nd anniversary of the actual handover in 1997 and some protesters hung a colonial flag in the Legislative Council building after getting in.
A Chinese Foreign Ministry spokesman accused Hunt of laboring under a "colonial illusion", while Whitehall summoned Liu over his remarks, describing them as "unacceptable and inaccurate".
Confrontation and lawlessness in Hong Kong could damage its reputation as an global business hub and seriously hurt its economy, China's top newspaper, the People's Daily, said in an editorial.
"In the minds of some people, they regard Hong Kong as still under British rule".
The declaration stated explicitly that the "social and economic systems in Hong Kong will remain unchanged" and rights would be guaranteed.
China told Britain to keep its hands off Hong Kong on Wednesday while London called for Beijing to honor the agreements made when the city was handed over in 1997, escalating a diplomatic spat over the former British colony.
Following violent clashes between protesters and police in Hong Kong in recent weeks, Britain reminded China of its obligations to protect freedoms in Hong Kong, and to not use the protests as a "pretext for repressions".More news: Blake Shelton Tries - and Hilariously Fails - the Bottle Cap Challenge
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China on Monday said that Britain no longer has any responsibility for Hong Kong and needed to stop "gesticulating" about the territory.
"Instead of condemning it, they showed support, sympathy to these law breakers", he said.
"Ideologues in Western governments never cease in their efforts to engineer unrest against governments that are not to their liking, even though their actions have caused misery and chaos in country after country in Latin America, Africa, the Middle East and Asia", the official China Daily said in an editorial.
Rising tensions between Hong Kong residents and Chinese authorities may highlight the symbiotic relationship between Hong Kong and Canada by spurring a new cycle of migration from the former British colony.
About 150 canisters of tear gas were fired into the crowd, more than twice the number used in 2014 against the so-called umbrella movement calling for greater democracy in Hong Kong.
Liu especially criticized Secretary of State for Foreign and Commonwealth Affairs Jeremy Hunt and Boris Johnson (who will likely become Britain's next prime minister) and warned them against their taking the side of Hong Kong citizens protesting against a controversial extradition bill that has since been suspended.
Beijing insisted Wednesday any foreign efforts to interfere in Hong Kong are, in its words, destined to be "futile".
The protesters demanded - among a complete withdrawal of the bill, the release of arrested protesters and an investigation into alleged police brutality committed against protesters during an earlier demonstration - that Chief Executive Chief Executive Carrie Lam resign. "My heart goes out to people who do have to fight for their freedoms and who are anxious they could lose their very, very precious way of life", he said.
"But, for us, it is very important that the "one country, two systems" approach is honoured".