Close coupling expansions are used to describe the initial bound and free final systems Be++e−or B++e−. This approach takes into account interchannel coupling and configuration interaction effects for both the initial and final states. In the beryllium case we consider ejected electron energies with respect to 1s2s2, ranging from 17 eV (corresponding to the upper 1s2s3sthreshold) up to 120 eV. The total photoionization cross section decreases according to the &ngr;−8/3behaviour. The partial photoionization cross sections to the 1s2s2, 1s2s2p, 1s2p2, and 1s2s3sBe+terms are given and compared to the recent experimental data of Krause and Caldwell. At a photon energy of 190 eV, these authors find that the 1s2s2pexcitations amount to about 10.5% of single 1sionization, we also found 10%; their 1s2s3sexcitations is about 19%, we found 20%. This disagreement is due to overestimated C.I. effects in the initial state description. We note that the theoretical ratio I(1s2p2 2S)/I(1s2s2 2S) is close to 0.06 as expected from configuration mixing coefficients. For the Boron case, we note the weak 2p → 3s, 2s → 2pshake up processes compared to the notable 2p → 3peffect. The shake up processes to the B+even parity states due to the inelastic excitation induced by the ejected electron, are correctly estimated. For the B+odd parity states our results appear too high due to overstimated C.I. effects for the B ground state.