A new scheme combining controllable quantum teleportation with remote state preparation is proposed to realize two kinds of quantum information communications simultaneously. In the proposed scheme, Alice and Bob are both senders and receivers, and Alice, Bob and Charlie share a nine-qubit entangled state as quantum channel. Under the control of Charlie, Alice can transmit an unknown arbitrary single qubit state to Bob through a series of projection measurement, and meanwhile, Bob can also remotely prepare an arbitrary known two-qubit state to Alice. Compared with other similar hybrid schemes, the state of remote preparation in the proposed scheme is improved from single qubit to two-qubit. Analysis and inference show that the success rate of the proposed scheme is 100%.