  In the present paper, we check and study the validity of the \textsc{KaTie}
parton level event generator, by calculating the inclusive electron-proton (ep)
dijet and the Proton-proton (p-p) Drell-Yan electron-pair productions
differential cross sections in the $k_t$- and collinear factorization
frameworks. The Martin-Ryskin-Watt (MRW) unintegrated parton distribution
functions (UPDFs) are used as the input UPDFs. The results are compared with
those of ZEUS ep inclusive dijet and ATLAS p-p Drell-Yan electron-pair
productions, experimental data. The \textsc{KaTie} parton level event generator
can directly calculate the cross sections in the $k_t$-factorization framework.
It is noticed that the lab to the Breit transformation in this generator is not
correctly implemented by its author, so the produced output does not cover the
ep ZEUS experimental data in which the mentioned transformation is applied. By
fixing the above transformation in the \textsc{KaTie} generator code, we could
appropriately produce the ep inclusive dijet differential cross section, in
comparison with those of ZEUS data. It is also shown that the MRW at the NLO
level, with the angular ordering constraint can successfully predict the ATLAS
p-p Drell-Yan data. Finally, as it is expected, we conclude that the
$k_t$-factorization is an appropriate tool for the small longitudinal parton
momenta and high center of mass energies, with respect to the collinear one.
