  The QCD phase transition exhibits different periods during the evolution time
of the universe. We explore the cosmological implications of QCD phase
transition in the early universe, which was mainly full of QGP matter, through
the Friedmann equations. This is performed by studying the effect of GUP on the
MIT bag model. The obtained modified MIT bag model alongside with the Friedmann
equations are utilized to study the thermodynamical quantities in terms of the
evolution time. The effect of GUP is set by inserting the parameter $\alpha =
10^{-5}\hspace{0.03cm}GeV^{-1}$. It is found that, the GUP effect on the
evolution time of the universe makes it shorter, i.e the time span of each
phase takes shorter time to transfer to another phase than their corresponding
ones without GUP effect.
