The method for investigating the electron properties of metals, which was developed by I. M. Lifshits under the assumption that the form of the energy–momentum relation for charge carriers is known a priori, and for reconstructing the electron energy spectrum from experimental data is applied for studying acoustoelectronic effects in layered conductors with a strongly anisotropic conductivity of the metallic type. It is shown that the attenuation of acoustic waves propagating along the layers can become much weaker in strong magnetic fields. The conditions for acoustic transparency of layered conductors with a quasi-two-dimensional electron spectrum are obtained, and the oscillatory dependence of acoustic damping decrement on the magnetic field is analyzed for various orientations of the acoustic wave vector and the magnetic field.