  The concordance particle creation model - a class of $\Lambda(t)$CDM
cosmologies - is studied using large scale structure (LSS) formation, with
particular attention to the integrated Sachs-Wolfe (ISW) effect. The evolution
of the gravitational potential and the amplitude of the cross-correlation of
the cosmic microwave background (CMB) signal with LSS surveys are calculated in
detail. We properly include in our analysis the peculiarities involving the
baryonic dynamics of the $\Lambda(t)$CDM model which were not included in
previous works. Although both the $\Lambda(t)$CDM and the standard cosmology
are in agreement with available data for the CMB-LSS correlation, the former
presents a slightly higher signal which can be identified with future data.
