In modern cosmology, cosmological tensions are a leading topic in the field. One of the most controversial subjects in the wake of these discrepancies is the difference between the direct and indirect measurements of the Hubble constant. This has led to alternative scenarios becoming the subject of study in modern cosmology, with dynamical dark energy being one of the most promising. Studies have shown that the key to distinguishing between different dynamical dark energy models lies in their effects on large scales. Therefore, the Integrated Sachs-Wolfe (ISW) effect could be a hint for finding the most convincing scenarios for dark energy. In this work, we have investigated the effect of dynamical dark energy models (CPL, JBP and BA) in comparison with constant dark energy models (LCDM and wCDM) on structure formation in late time by evaluating the matter power spectrum and ISW effect. Our study confirms that the matter power spectrum and the ISW effect are suitable probes for studying dark energy.