Miguna Miguna is now in Canada after being put on a flight to Toronto by the Kenyan government last week following several days in police detention.
Interior Cabinet Secretary Fred Matiang'i has moved to the Court Appeal to challenge High Court orders directed at him over the controversial deportation to Canada of self-declared "general" of the National Resistance Movement (NRM), Dr Miguna Miguna.
The judge ordered Boinnet and Kinoti to make a written undertaking within seven days pledging to comply and give effect to court orders so as to purge their contempt.
His expulsion came after he was charged with treason over the symbolic swearing-in ceremony.
Following his deportation, Miguna vowed to seek legal redress, maintaining that he has never renounced his Kenyan citizenship.
On way forward, Kibicho says the government's legal team handling the case is now reviewing the High Court ruling and will in due course be appealing the ruling.
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Odinga claims that results in last year's August election were manipulated in Kenyatta's favor, and he boycotted a fresh vote in October after the Supreme Court nullified the first one, saying electoral reforms had not been made.
The ruling party on the other hand has accused the country's judiciary of "poor leadership, bias, impunity and double standards".
Kibicho argues that in as much as the government respects the court's decision, the government still holds its earlier view that the deportation of Miguna Muguna was procedural and done in accordance with the law.
The office of the chief justice said declined to comment on the letter.
In a tweet, Miguna welcomed the court ruling, stating that they will use the Constitution to fight injustices.