Two related papers on the International Axion Observatory (IAXO) and its pathfinder, BabyIAXO, report design optimization and fabrication status for custom X-ray telescope optics intended to detect axions via X-ray conversion in a strong magnetic field. One study presents an optimized “hybrid” optic concept designed to cover the full 700-mm-diameter magnetic bore while keeping mechanical stress on the mirrors minimal. It focuses on shell layout, coating recipes, and performance modeling, including broadband effective area and simulated point-spread function (PSF) and focal spot at the detector plane. The authors report an energy response spanning 0.03–15 keV, with effective area exceeding 2400 cm² near 1 keV and remaining above 1700 cm² around 3 keV, alongside a half-power diameter of about 46 arcseconds for an on-axis point source and a focal-spot half-power diameter of about 120 arcseconds for the expected axion signal distribution across the solar core. Another paper describes fabrication and expected performance for BabyIAXO’s inner-core optic, using thermally slumped borosilicate glass and a hybrid design with co-aligned inner-core and outer-corona optics sharing an optical axis and vacuum vessel. It outlines reoptimized thermal forming and quality checks and expects an on-axis PSF HPD of under 90 arcseconds and more than a 55× signal-to-noise ratio improvement.