  We study constraints on one-loop neutral naturalness at the LHC by
considering gluon partners which are required to ameliorate the tuning in the
Higgs mass-squared arising at two loops. This is done with a simple orbifold
model of folded supersymmetry which not only contains color-neutral stops but
also bifundamental gluinos that are charged under the Standard Model color
group $SU(3)_C$ and a separate $SU(3)_C'$ group. The bifundamental gluinos
reduce the Higgs mass tuning at two loops and maintain naturalness provided the
gluinos are lighter than approximately 1.9 TeV for a 5 TeV cutoff scale. Limits
from the LHC already forbid bifundamental gluinos below 1.4 TeV, and other
non-colored states such as electroweakinos, $Z'$ bosons and dark sector bound
states may be probed at future colliders. The search for bifundamental gluinos
therefore provides a direct probe of one-loop neutral naturalness that can be
fully explored at the LHC.
