In this paper, the receive generalized spatial modulation (RGSM) scheme with reconfigurable intelligent surfaces (RIS) assistance is proposed. The RIS group controllers change the reflected phases of the RIS elements to achieve the selection of receive antennas and phase shift keying (PSK) modulation, and the amplitudes of the received symbols are adjusted by changing the activation states of the elements to achieve amplitude phase shift keying (APSK) modulation. Compared with the existing RIS-aided receive generalized space shift keying (RIS-RGSSK) scheme, the proposed scheme realizes that the selected antennas respectively receive different modulation symbols, and only adds the process to control the modulated phases and the activation states of elements. The proposed scheme has better bit error rate (BER) performance than the RIS-RGSSK scheme at the same rate. In addition, the results show that for low modulation orders, the proposed scheme will perform better with PSK, while for high modulation order, APSK is better. The proposed scheme is a promising scheme for future wireless communication to achieve high-efficiency.