A tooling assembly for manufacturing a porous composite structure. The tooling assembly includes a first tooling member and a second tooling member. The first tooling member includes a first body that defines a first internal volume and a first inlet. The first inlet is fluidly coupled with the first internal volume. The first tooling member also includes a first tooling surface that defines a plurality of first perforations that are fluidly coupled with the first internal volume. The second tooling member includes a second body that defines a second internal volume and a second inlet. The second inlet is fluidly coupled with the second internal volume. The second tooling member also includes a second tooling surface that defines a plurality of second perforations that are fluidly coupled with the second internal volume.