  We analyse a possible adjustment of Twin Higgs models allowing to have broken
electroweak (EW) symmetry at all temperatures below the sigma-model scale $\sim
1$TeV. The modification consists of increasing the Yukawa couplings of the
twins of light SM fermions. The naturalness considerations then imply a
presence of relatively light electroweak-charged fermions, which can be
produced at the LHC, and decay into SM gauge and Higgs bosons and missing
energy. Analysis of experimental bounds shows that such a modified model
features an increased amount of fine-tuning compared to the original Twin Higgs
models, but still less tuning than the usual pseudo-Nambu-Goldstone Higgs
models not improved by $Z_2$ symmetry. The obtained modification in the
evolution of the EW symmetry breaking strength can, in particular, have
interesting implications for models of EW baryogenesis, which we comment on.
