Mr Latortue denies allegations that his interim government is deliberately excluding figures from the former ruling party or carrying out a political vendetta against opponents.
The largest grouping of ethnic-Fijian parties, the Fijian Forum, has given the dispute an anarchic twist by saying that it does not accept the ruling of the Court of Appeal against the interim government.
Abbas Sarfraz and Salman Shah -- both members of the ruling Pakistan Muslim League-Q party -- were appointed to the interim cabinet and previously served in Musharraf's cabinet.