The phrase "authorities restored" is correct and usable in written English.
It can be used in contexts where you are discussing the reinstatement or return of power or control to authorities, such as in a political or social situation.
Example: "After the protests, the government announced that authorities restored order in the city."
Alternatives: "authorities reinstated" or "authorities returned".
Then, a few weeks after he started his investigation, he said, the local forestry authorities restored the logger's suspended permit without consulting him.
At one point, Thaksin Shinawatra, Thailand's prime minister, told Hun Sen, his Cambodian counterpart, that unless the Cambodian authorities restored order within 90 minutes, he would send in Thai troops to do so.
According to a summary of the report on the English-language Web site of Syria's state news agency: "The authorities restored security and safety to Baba Amr neighborhood in Homs, ridding it of members of armed terrorist groups who ran amok in it and committed murder and vandalism, turning the locals' life into a living hell".
Authorities restored electricity by around 10 40 p.m., per 13ABC.
The declining dollar — or strong euro — is helping European authorities restore health to the ailing banking sector — and that's critical for Europe's recovery.
Beyond aiding with emergency rescue operations, the president also urged federal agencies to help state authorities restore power to the millions of customers who lost it in the storm.
The authority restored power six days later, but then the northeaster last week knocked it out again.
After more than 90 minutes, with no cats in tow, the authority restored power and service to the local tracks.
I believe that things would work better if ORI had that authority restored.
Mormons believe that their church is the "only true and living church" because of the divine authority restored through Smith.
Immediately, she moved to assert her authority, restore democracy, implement tough economic decisions, eradicate corruption, promote media freedom, and repair relations with donors and international partners.
