Two real parton contributions to non-singlet kernels for exclusive QCD DGLAP evolution

Results for the two real parton differential distributions needed for implementing next-to-leading order (NLO) parton shower Monte Carlo are presented. They are also integrated over the phase space in order to provide solid numerical control of the MC codes and for the discussion of the differences between the standard $\bar{MS}$ factorization and Monte Carlo implementation at the level of the inclusive NLO evolution kernels. Presented results cover non-singlet class of the diagrams entering into NLO kernels. Classic work of Curci-Furmanski-Pertonzio was used as a guide in the calculations.