  We show that the recently derived renormalization group improved
Yennie-Frautschi-Suura (YFS) exponentiation of soft $(k_o\to 0)$ gluons in QCD
is fully compatible with the usual Dokshitzer-Gribov-Lipatov-Altarelli-Parisi
(DGLAP) evolution of the structure functions of hadrons in the respective
hadron-hadron hard interactions. We show how to implement the YFS
exponentiation without double or over counting effects already implied by the
DGLAP equation. In this way, we arrive at a theory which allows for the
development of realistic, multiple gluon Monte Carlo event generators for hard
hadron-hadron scattering processes in which the DGLAP evolved structure
functions are correctly synthesized with the respective YFS exponentiated soft
gluon effects in a rigorous way.
