This paper presents a modified Look-Up-Table (LUT) based DAC foreground calibration for multi-bit continuous-time Delta-Sigma Modulators. The feedback DAC in DSMs is usually a performance bottleneck, as all of its errors directly add at the input node. Fore- or background error correction based on LUT can efficiently eliminate the DAC errors, but can also impose significant circuit overhead in the digital and analog domain. The presented method reduces the correction complexity while maintaining the same performance as current state-of-the-art solutions towards static and dynamic errors.