When using a cross auger assembly on a crop harvesting header with a flexible frame having end frame sections pivotal relative to a centre frame section, mounting devices are coupled between the bearing housings at opposing ends of the cross auger assembly and the outer ends of the end frame sections. Each mounting device includes a first mounting structure fixed relative to the outer end of the end frame section, a second mounting structure fixed to a portion of the respective bearing housing, and a flexible mounting arrangement between the mounting structures to accommodate variation in lateral positioning of the bearing housings relative to the ends of the flexible frame as the flexible frame flexes over varying ground contours without requiring a telescoping shaft arrangement on the cross auger assembly.