Modified feeding trays for use in the production of segmented filters may be advantageous when handling filter rods that are porous masses. A modified feeding tray may include a rectangular bottom; opposing first and second sidewalls coupled to corresponding first and second edges of the rectangular bottom; a third sidewall coupled to a third edge of the rectangular bottom and extending between the first and second sidewalls; and a shelf extending between the first and second sidewalls at an intermediate location along a length of each of the first and second sidewalls and thereby defining an open compartment formed by the first and second sidewalls, the shelf, and the bottom, and a closed compartment defined by the first, second, and third sidewalls, the shelf, and the bottom. In some instances, the shelf may be repositionable within the modified feeding tray