<p>Based on the Darboux transformation method, the nonautonomous soliton solutions on the vanishing and non-vanishing backgrounds for the multi-component Gross−Pitaevskii equation are investigated. For the vanishing background, the determinant representations and long-time asymptotic behaviors of the nonautonomous multi-soliton solution and higher-order soliton solution are discussed. Moreover, we construct the nonautonomous nondegenerate solitons, which present the time locality and periodicity. Unlike the autonomous case, nonautonomous solitons can exhibit the breath and rogue wave effects owing to time-varying parameters and external potentials. In addition, the infinite set of conserved quantities associated with soliton solutions is obtained using the inverse scattering transform, and these nonautonomous soliton solutions satisfy specific variational ordinary differential equations. Finally, for the generalized non-vanishing background, the nonautonomous dark/bright breathers and dark/bright solitons solutions are constructed and analyzed.</p>