In this paper, a novel cognitive cooperation model is investigated, in which one multiantenna secondary user (SU) cooperates with two primary users (PUs), reaching a three-party agreement on how to jointly share the authorized spectrum bands, and meanwhile, energy harvesting (EH) and spatial multiplexing (SM) are introduced to make full use of the specious spectrum and energy resources. We call it the EH-SM-enabled two-plus-one cognitive cooperation and focus on the design of the optimal forwarding vector for PUs, optimal beamforming vector for the SU, and optimal power splitting factor for EH, with the objective to maximize SU's achievable transmission rate subject to both minimum transmission rate requirements for two PUs and maximum power consumption constraint for the SU. The formulated problem is nonconvex and difficult to solve directly. For an effective solution, the original rate maximization problem is transformed into the contrapositive power minimization problem, and a low-complexity optimal algorithm is proposed by jointly employing the bisection and golden section methods. Simulation results show that compared with the existing one-plus-one scheme and non-EH-enabled scheme, the proposed scheme greatly improves the SU's achievable transmission rate and, meanwhile, provides more reliable data transmission for PUs.