The new effects of phase-conjugation asymmetric attosecond sum-frequency polarization beat (ASPB) of twin composite color-locking stochastic fields in cascade three-level system are investigated. The radiation field-matter asymmetric effects and hybrid detuning terahertz oscillation property of self-correlation single-photon degenerate four-wave mixing signal (DFWM) and two-photon nondegenerate four-wave mixing signal (NDFWM), and time-delay asymmetry of two-photon non-degenerate resonant four-wave mixing theoretically are analyzed; the time-delay asymmetry of polarization beat signal caused by the unbalanced dispersion effects between the two arms of Michelson interferometer, which is the phenomenon that the maximum of the polarization beat signal shifts from zero time delay, is also studied. But this asymmetry does not affect the total precision of homodyne detected ASPB signal when detecting the energy-splitting of two transition-forbidden excited states. As a Doppler-free attosecond ultrafast coherent modulation process, ASPB can be intrinsically extended to any two dipolar forbidden energy-level systems.