  This work we build out complete messenger sectors for models of Frustrated
Dark Matter where the Dark Sector couples to the SM through a scalar and
fermionic mediator pair. The frustrated DM paradigm allows great freedom in the
charge assignments of the messenger sector, allowing DM to couple to a mediator
pair any representation of the SM gauge group where the scalar and fermionic
mediators have the same charges. In this paper we write down all renormalizable
models where the messengers make contact with the SM through pairs of quarks.
These messengers may be singlets, triplets, sextets, or octets of SU(3). The
mediators may additionally be in non-trivial representations of SU(2) including
doublet and triplet representations. depending on the SU(3) charges of the
mediator. In addition to writing the complete set of renormalizable
Lagrangians, we categorize the general collider phenomenology of the models and
discuss pair production and single production LHC signatures of the messenger
sectors.
