After 37 years from the discovery first-principles quantum material design of the optimal topology of artificial 2-5 nm heterostructures makes possible to predict high Tc superconductors on demand shedding finally light on the mechanism of high temperature superconductivity (HTS) in cuprate perovskites. We present a theory which predicts the superconducting Tc, multiple gaps and T-linear resistivity in artificial superlattice of quantum wells where quantum geometry controls quantum functionality. Advances in 2-5 nm technology in Stuttgart makes now feasible to verify theory prediction in artificial superlattices of quantum wells. HTS is reached by cooperative interplay of the Rashba spin-orbit coupling (RSOC) due to the internal electric field in interface superconductivity joint with unconventional e-ph interaction at unconventional Lifshitz transitions in nanoscale superlattices of metallic and insulator units [1-4].We provide a computer code that makes possible to design on demand macroscopic quantum functionality controlling the topological Lifshitz transitions, shape resonances between superconducting gaps in subbands controlled by resonant scattering and quantum configuration interaction between open and closed pairing channels [2, 3]. Our results provide a quantitative tool for material design of new high temperature superconductors [4, 5] made of particular superlattices of quantum layers at 2-5 nm scale. Finally we show the key role of fine control of the geometry of artificial heterostructures made of quantum wells of undoped insulating units intercalated by metallic units forming a superlattice of 2D interface space charge layers separated …