  Measurement-based quantum correlation mimics several characteristics of
multipartite quantum correlations and at the same time, it reduces the parent
system to a smaller subsystem. On the other hand, genuine multipartite
entanglement measures can capture certain features of a multisite composite
system that are inaccessible via bipartite quantum correlation quantifiers. We
merge these two concepts by introducing localizable genuine multimode
entanglement for continuous variable systems, both for Gaussian and
non-Gaussian multimode parent states. We report a compact form of localizable
generalized geometric measure for multimode Gaussian states when Gaussian
measurements are performed in some of the modes. We show that non-Gaussian
measurements can concentrate more genuine multimode entanglement compared to
the Gaussian ones. For non-Gaussian states with non-Gaussian measurements, we
find that although four-mode squeezed vacuum state has permutation symmetry
with respect to the exchange of first and third modes as well as the second and
the fourth modes, the symmetry can be broken by performing measurements in one
of the modes in case of addition while for subtraction, such symmetry is
preserved, thereby providing a method for distinguishing multimode photon-added
and -subtracted states via localizations.
