The transverse momentum spectra of \(K^{*}(892)^{0}\) and \(\phi (1020)^{0}\) are analyzed as a function of \(p_{T}\) in the range \( 0< p_{T} < 5 \;GeV/c\) and \( 0< p_{T} < 3.5 \;GeV/c\) in \(Au-Au\) and \(Cu-Cu\) collisions, in the mid-rapidity interval i.e. \(|y| < 0.5\) . We have used PYTHIA8, EPOS-LHC, and EPOS-1.99 event generators for this study at \(\sqrt{s_{NN}} = 62.4\) and \(200\;GeV\) . In order to validate the models, Simulated distributions are compared with STAR Experimental data. The predictions obtained from PYTHIA8 shows good agreement with the STAR data, while the EPOS-LHC and EPOS-1.99 could not describe the STAR data very well. For the quantitative analysis the ratio: \(K^{*}(892)^{0}/K(498)^{0}\) and \(\phi (1020)^{0}/K(498)^{0}\) is also presented. In this analysis TSallis fitting is used to extract freeze-out parameters.