A genuine seven-qubit entangled state is presented as channel of quantum teleportation, and based on which, two new schemes of bidirectional controlled quantum teleportation are proposed. One scheme is that with the control of Charlie, Alice teleportates an unknown qubit to Bob and Bob teleportates an unknown two-qubit to Alice in the same time. The other scheme is that with the control of Charlie, Alice teleportates an unknown two-qubit with the form of Schmidt decomposition to Bob and Bob transmits an arbitrary unknown two-qubit to Alice simultaneously. In the proposed schemes, the agents measure their particles with the base Bell or GHZ and transmit the results to each other through classical channel. Then, the supervisor measures his particle with X base and transmits the result to the agents by classical communication. Finally, the agents can restore the quantum state teleported by the sender through applying unitary operators on his particles. Compared with the existed schemes, the intrinsic efficiency of proposed schemes is higher. Moreover, the genuine entangled seven-qubit state used can be produced through some simple quantum unitary gates.