ChromaFlow is an AI-native lip color system that measures user lip optics, predicts personalized color appearance, and generates a manufacturable cosmetic formulation on demand. Its cloud intelligence combines four models. A Spectral Reconstruction Transformer converts multispectral, PPG, and CIELAB signals into a Bio-Optical Lip Profile. A Fourier Neural Operator learns how cosmetic layers interact with that profile under Kubelka-Munk physics. A rectified flow-matching model proposes candidate pigment, base, and texture ratios, which are iteratively refined using feedback from the physics-informed operator until they converge. Gaussian process Bayesian optimization then learns each user's remaining error from applied results. Together, these models reach a predicted CIEDE2000 color difference of ΔE00 ≤ 1.5 in under 10 seconds. Piezo Plate Modules and microfluidic mixing convert the AI-generated recipe into color with ±1 μL dispensing precision. ChromaFlow makes AI responsible not merely for recommending a product, but for designing, producing, and improving the product itself.