Elastic and inelastic scattering of 240-MeV $^{6}\mathrm{Li}$ particles from $^{58}\mathrm{Ni}$ and $^{90}\mathrm{Zr}$ were measured with the multipole-dipole-multipole spectrometer from ${4}^{\ifmmode^\circ\else\textdegree\fi{}}\ensuremath{\leqslant}{\ensuremath{\theta}}_{\mathrm{c}.\mathrm{m}.}\ensuremath{\leqslant}{43}^{\ifmmode^\circ\else\textdegree\fi{}}$. The elastic scattering data were fitted with the double-folding model using the density-dependent M3Y $\mathit{NN}$ effective interaction and with a phenomenological Woods-Saxon potential. $B(E2)$ and $B(E3)$ values obtained for low-lying ${2}^{+}$ and ${3}^{\ensuremath{-}}$ states with the double-folding calculations agreed with the adopted values.