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 is utilized to study the thermodynamical quantities in terms of the evolution time. The effect of GUP is set by inserting the parameter . 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.