A theoretical scheme for asymmetric bidirectional remote preparation is proposed by using a special quantum channel with one cluster state and three Bell states entangled together. In this scheme, Alice and Bob are both senders and receivers of remote quantum information. Alice helps Bob to prepare a three-qubit entangled state remotely. Meanwhile, Bob also helps Alice to prepare a four-qubit cluster state remotely. Alice and Bob use the orthogonal measurement basis matched with the quantum channel to measure the projection of the qubits (1, 3, 5) and (8, b). After receiving the measurement result of the other party, the receiver carries out unitary transformation operation corresponding to the measurement basis for each measurement result, and the probability of direct and successful preparation is 1/8. Then, the method to improve the probability of successful preparation is given, in which a specific coefficient is selected firstly, then the above operation is repeated to complete the asymmetric bidirectional remote preparation of an arbitrary three-qubit entangled state and a four-qubit cluster state. After calculation and verification, the probability of successful preparation is up to 100%, and the information transmission efficiency of the system is 36.84%.