Mamora was said to have rejected the appointment because he thought it was not befitting given his sacrifices during Buhari's campaign.
The President appointed Mamora as the Chairman of the Abuja Investment and Infrastructure Centre (AIIC) but the ex-legislator was said to have rejected the offer.
Mamora was the Deputy Director-General of the Muhammadu Buhari Campaign Organisation during the 2015 presidential election.
According to Punch, a governorship aspirant of the All Progressives Congress in the 2016 Ondo State governorship election, Mrs. Jumoke Ajasin-Anifowoshe, has been named the AIIC chairman following Mamora's rejection of the position.
Ajasin-Anifowose, who is the daughter of the first Governor of the old Ondo State, Adekunle Ajasin, was sworn in by the Minister of the Federal Capital Territory, Alhaji Muhammad Bello.
The paper cited a reliable source who said Mamora met with the Secretary to the Government of the Federation, Boss Mustapha and expressed his displeasure with the appointment to the Secretary to the Government of the Federation, Boss Mustapha.
He was said to have argued that the appointment was not befitting, adding that the people who never participated in the process that brought Buhari to power were occupying the front seats of government.
The source also said that Mamora was listed to be the Chairman of the Board of the Nigerian Ports Authority in 2016 but was edged out by some powerful people in the system.
The ex-lawmaker, according to the source, was also nominated as an ambassador in late 2016 but his name was suddenly dropped for unknown reasons and was not contacted before his name was removed.
Pulse could not immediately get Mamora's reaction to the story.
Mamora is a former Speaker of the Lagos State House of Assembly and senator who represented Lagos-East senatorial district from 2003 to 2011.