About 100 lawmakers openly expressed dissatisfaction with what they perceived as biased treatment, stating that this trend could hinder legislative activities.
While Senate President Godswill Akpabio announced principal officers of the red chamber during plenary, the Speaker of the House of Representatives Tajudeen Abbas named principal officers of the green chamber.
Mr Abbas also read a letter from the Minority Caucus which detailed the names of the principal officers.
During plenary on Tuesday, the immediate-past governor of Sokoto lost the position to Simon Mwadkwon, lawmaker representing Plateau north senatorial district.
Senate President Godswill Akpabio named the officers as emerging through consensus.
He commended Mr Tinubu for removing fuel subsidy, saying that Nigeria must begin to produce its own fuel and encourage diesel production.