  We investigate the entanglement and non-locality between specific spectral
components of continuous variable two-mode squeezed mixed states, identifying
their limits. These spectral components are selected from output modes using
filters commonly employed in optomechanical systems. Both entanglement and
non-locality reach their peak when the filters are identical. However,
increasing the degree of input squeezing while applying non-identical filters
disrupts both entanglement and non-locality, leading to a bell-shaped pattern.
Additionally, we provide precise boundaries for entanglement and non-locality.
Furthermore, we also evaluate the squeezing of two-mode hybrid quadrature as a
measure of entanglement, thereby demonstrating how it remains analogous to
logarithmic negativity. Combined with the filter, the population of two-mode
squeezed thermal light influences the angle of a maximally squeezed hybrid
quadrature.
