A modified generalized composite kinoform Fibonacci lens (MGCKFiL) is proposed to produce two foci with the same resolution and long focal depths. The MGCKFiL is based on a generalized composite kinoform Fibonacci lens (GCKFiL) and a phase generated by the weighted Gerchberg-Saxton algorithm. This phase expands the focal depths of two foci for the GCKFiL. Compared with the conventional kinoform Fibonacci lens (KFiL), the GCKFiL has the two equal-intensity foci with higher intensity. The GCKFiL with the positive integer number p = 4q + 2 has the two equal-intensity foci along the optic axis. When p is big enough, the bifocal positions of the GCKFiL with the bigger order S have the ratio rounding toward one. Furthermore, the MGCKFiL has the two images with the same size at the two main focal positions, and achieves the extended bifocal depth imaging. The proposed zone plates are applicable to generate the two same-size images, and achieve extended bifocal depth imaging and multi-planar optical trapping. © 2022