This paper investigates the imperfect channel state information that is caused by the channel estimation error and feedback delay effects on the leakage rate analysis for the cooperative nonorthogonal multiple access networks. The investigation considers a dual hop one-/two-way nonorthogonal multiple access-based information exchange process with the aid of half-/full-duplex untrustworthy wireless relaying network for the leakage rate analysis. The channel estimation error causes system coding gain losses while the feedback delay does not have any effect on the users' outage performance at untrustworthy relay terminal in low signal-to-noise ratio regimes. Conversely, the channel estimation error effects become negligible while the feedback delay causes system coding gain losses on the users' outage performance at untrustworthy relay terminal in high signal-to-noise ratio. Results also reveal that the untrustworthy relay terminal, which is under the effect of the channel estimation error and feedback delay, is being active between -10 and 25- 30 dB. Beyond 25- 30 dB, the untrustworthy relay terminal becomes out of order and saturates. The Monte Carlo-based simulation results are in agreement with the analytical and asymptotic derivations.