The \(^{6}\) Li+ \(^{89}\) Y experiment was performed to explore the reaction mechanism induced by a weakly bound nucleus \(^{6}\) Li and its cluster configuration. The particle- \(\gamma\) coincidence method was used to identify the different reaction channels. The \(\gamma\) -rays coincident with \(^{3}\) He/ \(^{3}\) H indicate that the \(^{3}\) H/ \(^{3}\) He stripping reaction plays a significant role in the formation of Zr/Nb isotopes. The obtained results support the existence of a \(^{3}\) He– \(^{3}\) H cluster in \(^{6}\) Li. Direct and sequential transfer reactions are adequately discussed, and the FRESCO code is used to perform precise finite-range cyclic redundancy check calculations. In the microscopic calculation, direct cluster transfer is more predominant than sequential transfer in \(^{3}\) H transfer. However, the direct cluster transfer is of comparable magnitude to the sequential transfer in the \(^{3}\) He transfer.