Using high-dimensional maximally entangled quantum states as channels, an asymmetric controlled bidirectional teleportation scheme is proposed and optimized. The senders (Alice and Bob) and the controller (Charlie) secretly share entangled state in advance to construct quantum channel. Once the communication begins, according to the distribution mode of entangled particles and the different choice of measurement basis, Alice and Bob respectively transmit a single-particle state and a two-particle state in high-dimensional space to each other, under the supervision of Charlie. By optimizing the measurement basis, the success probability raised from 1/d to 1 and the asymmetric controlled bidirectional teleportation is implemented successfully. At the same time, it is physically easy to achive by using generalized Bell-basis measurement and single-qubit measurement only. The improved scheme allows Charlie to control both channels, increasing the security of the scheme.