The combination of high-order harmonic generation (HHG) with resonant xuv excitation of a core electron into the transient valence vacancy that is created in the course of the HHG process is investigated theoretically. In this setup, the first electron performs a HHG three-step process whereas, the second electron Rabi flops between the core and the valence vacancy. The modified HHG spectrum due to recombination with the valence and the core is determined and analyzed for krypton on the 3d → 4p resonance in the ion. We assume an 800 nm laser with an intensity of about 10 14 W cm 2 and xuv radiation from the Free Electron Laser in Hamburg (FLASH) with an intensity in the range 10 13 -10 16 W cm 2 . Our prediction opens perspectives for nonlinear xuv physics, attosecond x rays, and HHG-based spectroscopy involving core orbitals. c 2018 Optical Society of America OCIS codes: 190.2620, 140.2600 High-order harmonic generation (HHG) by atoms in intense optical laser fields is a fascinating phenomenon and a versatile tool; it has spawned the field of attoscience, is used for spectroscopy, and serves as a light source in many optical laboratories [1]. Present-day theory of HHG largely gravitates around the single-active electron (SAE) approximation and the restriction to HHG from valence electrons [1][2][3][4].Several extensions to the SAE view of HHG have been investigated previously. A two-electron scheme was considered that uses sequential double ionization by an optical laser with a subsequent nonsequential double recombination; in helium this leads to a second plateau with about 12 orders of magnitude lower yield than the primary HHG plateau [5]. Two-color HHG (optical plus xuv light) has been studied in a one-electron model [6] and with many-electron effects included by a frequency-dependent polarization [7]; the xuv radiation assists thereby in the ionization process leading to an overall increased yield [6] and the emergence of a new plateau [7], the latter, however, at a much lower yield. The above schemes suffer from tiny conversion efficiency beyond the conventional HHG cutoff (maximum photon energy).We propose an efficient two-electron scheme for a HHG process manipulated by intense xuv light from the newly constructed free electron lasers (FEL)-e.g., the Free Electron Laser in Hamburg (FLASH). Our principal idea is sketched in Fig. 1. In the parlance of the three-step model [2,3], HHG proceeds as follows: (a) the atomic valence is tunnel ionized; (b) the liberated electron propagates freely in the electric field of the optical laser; (c) the direction of the optical laser field is reversed and the electron is driven back to the ion and eventually recombines with it emitting HHG radiation. The excursion time of the electron from the ion is approxi- mately 1 fs for typical 800 nm optical laser light. During this time, one can manipulate the ion such that the returning electron sees the altered ion as depicted in Fig. 1. Then, the emitted HHG radiation bears the signature of the change. Perfectly suited for t...