Exploring physics and potential applications in vectorially structured light with propagation-invariant transverse structures has benefited many areas of modern optics and photonics. In this paper, we focus on non-eigen vector modes of paraxial light fields, and systemically investigate propagation variations and revivals of their transverse structures, including both amplitude and polarization profiles. We show that the deeper mechanism behind the evolution of the transverse structure is the variations and revivals of intramodal phases within spin-orbit coupled space and spatial-mode subspace, which originates from fractional Gouy phases, or rather, Geometric-phase difference between spatial modes under a same unitary transformation. This underlying principle, provides a general guideline for shaping vectorially structured light with custom propagation-evolution properties, and may also inspire many other new applications based on structured light.