Described are embodiments of a biological specimen collection transfer and container system and method for handling and processing specimens of cellular, and related particulate matter, directly into a vial or other like container. The vial, or container, assembly includes a series of ridges, protrusions, or like engagement members, that extend from the inside of the vial or container. Application of an external force between the collection apparatus and the engagement members contained within the vial, or container, results in an increased amount of cells, cellular structures, related material, and other particulates to transfer from the collection apparatus to the vial, or like container, thereby improving the sample yield and processing effectiveness of the sample in order to increase diagnostic utility.