National Assembly Majority leader Kimani Ichung'wah now says all they are asking for from the media is accountability and not favours.
In a statement, Ichung'wah said the media should focus on reporting things as they are and stop being part of a misinformation campaign.
Propaganda, he said, should be left to hired goons.
"We only want an accountable media and want not favours. Report it as is, both good and bad, but don’t be part of the propaganda and misinformation campaign. Propaganda leave to these hired goons of #roguekimaniIchungwah we are used to them. Freedom comes with responsibility," he said.
His remarks come a day after Senate Majority leader Aaron Cheruiyot made similar remarks.
While speaking in Kajiado on Sunday, Cheruiyot emphasised that the government is not at war with media outlets in the country.
“We have no fight with the media. In fact, what most of us are saying is that the same way the media checks us, the political class, they equally deserve to be checked” he said.
The senator said media reports must be truthful and factual.
“We do not want propaganda. Our president is well-received abroad but when he comes back, the media chooses to be petty. They focus on small issues and are always looking to find fault in government,” he said.
The past week saw an uproar over a series of derogatory remarks by Investments, Trade and Industry Cabinet Secretary Moses Kuria against the media.
The furor erupted when Kuria went on the attack against Nation Media Group (NMG), a major media house in East Africa, owned by the Aga Khan.
On Saturday, Kuria took on the media yet again, defying a court order issued against him insulting journalists.
Kuria, who was at Kimorori grounds at Kenol town for a food distribution event, accused the media of siding with the Raila Odinga-led opposition Azimio la Umoja One Kenya coalition party.