C4F7N and C5F10O have been identified as promising eco-friendly alternatives to SF6. Unlike previous studies that assumed local thermodynamic equilibrium (LTE), switching arcs often exhibit pronounced non-equilibrium (NLTE) behavior, especially in the presence of strong temperature gradients or insufficient electron concentration. This paper investigates the thermodynamic properties (mass density, specific enthalpy, and specific heat), transport coefficients (electrical conductivity, viscosity, and thermal conductivity), and radiation coefficients of two-temperature (2T) plasmas of C4F7N and C5F10O mixed with CO2, N2 and O2 under NLTE conditions. We also propose, for the first time, the method for determining the radiation coefficients of 2T plasmas. Results show that the product of mass density and specific heat in C4F7N and C5F10O plasma mixtures is primarily governed by molecular dissociation, with multiple peaks appearing below 5000 K and around 8000 K under LTE, while these peaks shift to higher temperatures under NLTE due to delayed dissociation. For transport coefficients, electrical conductivity decreases with increasing non-equilibrium degree below 15,000 K, with the peak shifting towards higher temperatures, whereas viscosity is mainly determined by collision integrals and is largely insensitive to composition at extreme temperatures. Thermal conductivity is successively dominated by heavy particle translational, reaction, and electron translational contributions, and its peaks shift to higher temperatures with stronger non-equilibrium, indicating delayed energy transfer. Radiation coefficients depend on accurate monochromatic absorption, with continuum absorption linked to electron temperature and line absorption to heavy-particle temperature. At low temperatures, higher CO2 or N2 concentrations reduce radiation coefficients, whereas at high temperatures their influence becomes negligible. These findings provide comprehensive 2T plasma property datasets essential for magnetohydrodynamic modeling of C4F7N- and C5F10O-based plasma mixtures, thereby facilitating the evaluation of their arc-quenching capability and advancing their application as eco-friendly SF6 replacements.