In this letter, we propose novel dual-mode chirp spread spectrum (DM-CSS) modulation for low-power wide-area networks for Internet-of-Things applications. DM-CSS is capable of transmitting higher number of bits relative to other counterparts, such as Long Range (LoRa) modulation. Considering the same symbol period, the number of transmitted bits in DM-CSS are augmented by: (i) simultaneously multiplexing even and odd chirp signals; (ii) using phase shifts of \(0\) and \(\pi\) radians for both even and odd chirp signals; and (iii) using either up-chirp or down-chirp signal. Relative to LoRa, the transmitted bit rate increases by up to \(116.66\%\) for the same bandwidth and spreading factor. Moreover, we present a non-coherent receiver architecture for DM-CSS. Simulation results reveal that DM-CSS is not only more spectral efficient but also more energy efficient than most classical counterparts. It is also demonstrated that DM-CSS is robust to phase and frequency offsets.