In this article a mechanical spectroscopic study of a series of low (similar or equal to 8%) and medium (similar or equal to 70%) vinyl-content polybutadienes, some of them functionalized with 4,4’-bis(diethylamino)benzophenone, is presented. Characterization of polymers with well-known structure by small-amplitude oscillatory shear flow enabled investigation of the effect of the vinyl content and functional groups on the theological behavior of the samples in the linear viscoelastic region. The Doi-Edwards viscoelastic model, without any adjustable parameter, proved to be adequate to describe the relationship between the macro/micro structure of the polymers and their viscoelastic properties. Results indicate that the vinyl content and functional groups modify the theological behavior extensively.