The Q are little brats and quite powerless when it comes to the beings in the Perry Rhodan series.
To quote wiki:
To all life, an evolutionary theory called the "onion-shell-model" is employed. It states, that there is a continuous evolution from lower life-forms (bacteria) to higher life-forms like intelligent life and finally bodyless entities. Upon invention, the onion-shell-model was used by the authors as if there are definite and discrete stages in cosmological evolution. However, later in the series further life-forms, representing stages between the known shells, were introduced.
The main shells are:
intelligent species, that have contacted other species
cosmocrats/chaotarchs (high powers)
The Q would be merely a superinteligence species, cosmocrats and chaotarchsare a few whole levels more powerful, they rule EVERY universe.
As for technology, Rhodan's humanity itself has ships of immense power, a single one of those that can totally wipe out the Borg without breaking a sweat, or being in danger for one second.