We study a one-dimensional electron gas in a special antiferromagnetic envi
ronment made by two spin-1/2 Heisenberg chains and a one-dimensional two-ch
annel Kondo-Heisenberg lattice away from half-filling. These models flow to
an intermediate fixed point which belongs to the universality class of chi
rally stabilized liquids. Using a Toulouse point approach, the universal pr
operties of the models are determined as well as the identification of the
leading instabilities. It is shown that these models exhibit a non-Fermi-li
quid behavior with strong enhanced composite pairing correlations.