"some sort of authority" is correct and usable in written English.
You can use it to refer to a person or institution in a position of power or influence. For example: He has been granted some sort of authority over the other employees in the company.
"What, you're some sort of authority?" she said.
Catalans rallied and tried to assert some sort of authority on the game but they were helpless to prevent Hull KR's fourth try through Graeme Horne soon afterwards.
*** In most cases, separation walls are imposed, usually by some sort of authority, and usually against the wishes of some, if not all, affected inhabitants.
"It is awful," Bishop wrote after her return to the United States, "to think I'll probably be regarded as some sort of authority on Brazil the rest of my life".
Being treated as some sort of authority, not only by TV and radio hosts but by people who write to me for advice, is more alarming than flattering; it makes me wonder whether all the alleged sages I've ever admired, from Lao Tsu to Marcus Aurelius, were big fat fakes like me.
"So, anything that puts itself in opposition to that, that's their way of finding some sort of authority.
Forty-two stands and the District of Columbia now have some sort of tolling authority.
A third element would be a common policy on unfair trading.Such matters would require enforcement by some sort of supranational authority, as Luiz Felipe Lampreia, Brazil's foreign minister, admits.
Now, leading opposition politicians say that Mr. Karzai should step aside in May and be replaced temporarily by some sort of executive authority agreed to by a consensus of political and judicial leaders.
Mr. Hevesi, the city comptroller, and Mr. Green, the public advocate, called for creating some sort of public authority, which would include representatives from business, labor, state and city government and perhaps federal officials, to oversee the reconstruction effort.
Men whose lives had been devoted to thought, who had tried mightily to govern the disorder of public life, to put it under some sort of intellectual authority, to get ideas to save mankind or to offer it mental aid in saving itself, would suddenly turn into gruesome idiots.
