Moir\'e patterns frequently appear when capturing screens with smartphones or cameras, potentially compromising image quality. Previous studies suggest that moir\'e pattern elimination in the RAW domain offers greater efficiency compared to demoir\'eing in the sRGB domain. Nevertheless, relying solely on raw data for image demoir\'eing is insufficient in mitigating color cast due to the absence of essential information required for color correction by the Image Signal Processor (ISP). In this paper, we propose perform Image Demoir\'eing concurrently utilizing both RAW and sRGB data (RRID), which is readily accessible in both smartphones and digital cameras. We develop Skip-Connection-based Demoir\'eing Module (SCDM) with specific modules embeded in skip-connections for the efficient and effective demoir\'eing of RAW and sRGB features, respectively. Subsequently, we propose RGB Guided Image Signal Processor (RGISP) to incorporate color information from coarsely demoir\'ed sRGB features during the ISP stage, assisting the process of color recovery. Extensive experiments demonstrate that our RRID outperforms state-of-the-art approaches by 0.62dB in PSNR and 0.003 in SSIM, exhibiting superior performance both in moir\'e pattern removal and color cast correction.

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