  The ATLAS report in August 2016 provided an upper limit for the $pp\to$
diboson and $t\bar t$ cross sections. We consider a pseudoscalar-mediated
fermionic dark matter together with gluon and photon effective operators
interacting with the pseudoscalar. Choosing the resonance mass being
$m_\rho=200, 750$ GeV and $2$ TeV, beside the relic density and the invisible
Higgs decay constraints we constrain more the space of parameters with the
diboson and $t\bar t$ cross section upper bounds. We finally provide some
benchmarks consistent with all the constraints. Having exploited a pseudoscalar
mediator, the DM-nucleon cross section is velocity suppressed so that the model
evades easily the bounds put by the future direct detection experiments such as
XENON1T.
