In quark epoch, the weak interaction force and electromagnetic force had been separated and quark started to combine to form mesons and baryons doe to collision.
The electromagentic and weak interactions are unified into the electroweak theory. This, however, is a consistent quantum field theory only when the contributions of quarks and leptons both are taken into account. The reason is that the weak interactions are chiral, the chiral symmetry is gauged and the anomaly coming from the quarks is cancelled by the anomaly coming from the leptons.
There is no evidence that The Quark Epoch existed. This is just a theory. So the question should be formulated differently: "If the Quark Epoch existed then"
If by quark epoch is meant a phase of the Universe, where quarks were not confined in hadrons, the answer is, still, that the electroweak interactions were unified. The only distinction might be, if the quark deconfinement transition occurs at a higher, or lower temperature than the temperature at which the Higgs potential would pass from one minimum to many. But in any case the electromagnetic and weak interactions would be described by a unified theory.