The existence of CP violation in the decays of strange and beauty mesons is very well established experimentally. On the contrary, CP violation in the decays of charmed particles has been elusive for a long time for the experimentalists and has been observed before for the first time in 2018 by the LHCb experiment. During the LHC Run 1 and Run 2, the LHCb collaboration has collected a huge samples with charm hadron decays, on a scale never seen before. These sample enable the most sensitive searches for CP violation ever performed. In the presentation, previous results from Run 1 will be reviewed and the innovative model-independent technique of searching for CP violation in charm baryon decays will be discussed and compared to other well-known methods such as \chi^2 test. A new technique is implemented and tested on a toy model that allowed the production of generated samples for different values of CP asymmetry. The LHCb proton-proton collision data, after appropriate selection procedure are tested as well. The offline, the detector asymmetries and other reconstruction effects will be discussed in detail. The performance of the χ2 method will be also demonstrated using data.