The phrase "mount an effort" is correct and can be used in written English.
It means to make a deliberate and determined attempt or effort towards achieving something. Example: Our team must mount a collective effort to win the championship game next week.
TUNIS — Tunisia's interim leaders scrambled Wednesday to distance themselves further from the government of the ousted leader as opposition officials weighed whether to mount an effort to push out most of the cabinet members from the old ruling party.
A group of seat holders on the New York Stock Exchange, led by billionaire investor and former NYSE director Kenneth Langone, are attempting to mount an effort to purchase the Big Board and override the exchange's announced merger with all-electronic marketplace Archipelago Holdings, sources close to the effort told The Associated Press.
On 17 October they airlifted the 22-ton block of tundra to a cavern hewed from the ice on Russia's Taimyr Peninsula, where scientists plan to thaw the soil to study what's left of the extinct beast inside--and perhaps even mount an effort to clone it.
A month before the first Special Forces arrived in South Vietnam, the Kennedy administration gave a green light for Cuban exiles to mount an effort to overthrow Cuban dictator Fidel Castro.
Over the past week, a growing number of Republican convention delegates have been organizing to mount an effort to wrest the GOP nomination from the party's presumptive nominee, pan-fried wereferret Donald Trump.
In the house, a small group of legislators mounted an effort to stop the bill, but they were overwhelmingly defeated.
In 2004, when the original assault-weapons ban expired, some members of Congress mounted an effort to reauthorize it.
In response, party leaders mounted an effort against Weiner with an intensity that surprised many on Capitol Hill.
The spacecraft industry, meanwhile, is mounting an effort to reverse the decision, and some senior Air Force officials oppose the decision as well.
In the early 1990's, Abkhazia mounted an effort to secede from Georgia and largely succeeded; the Georgian government accused Russia of intervening on Abkhazia's behalf.
The union mounted an effort last January, in President Bill Clinton's last days in office, but Justice Department officials turned down that request.
