  The excess events reported by the ATLAS Collaboration in the $WZ$-final
state, and by the CMS Collaboration in the $e^+\!e^- jj$, $Wh$ and $jj$-final
states, may be induced by the decays of a heavy boson $W'$ in the 1.8-2 TeV
mass range, here modelled via the larger local group $SU(2)_L\times
SU(2)_R\times U(1)_{B-L}$ in a non-linear dynamical Higgs scenario. The
$W'$-production cross section at the 13 TeV LHC is around 700-1200 fb. This
framework also predicts a heavy $Z'$ boson with a mass of 2.5-4 TeV, and some
decay channels testable in the LHC Run II. We determine the cross section times
branching fractions for the dijet, dilepton and top-pair $Z'$-decay channels at
the 13 TeV LHC around 2.3, 7.1, 70.2 fb respectively, for $M_{Z'}= 2.5$ TeV,
while one/two orders of magnitude smaller for the dijet/dilepton and top-pair
modes at $M_{Z'}= 4$ TeV. Non-zero contributions from the effective operators,
and the underlying Higgs sector of the model, will induce sizeable enhancement
in the $W^+W^-$ and $Z h$-final states that could be probed in the future LHC
Run II.
