We search for the e+e-→ηb(1S)ω and e+e-→χb0(1P)ω processes at a center-of-mass energy of 10.745 GeV, which is close to the peak of the (10753) state. We use data collected by the Belle II experiment during a special run, corresponding to an integrated luminosity of 9.8 fb-1. We reconstruct ω→π+π-π0 decays and use the ω meson's recoil mass to search for the signals. We do not find evidence for either process, and set upper limits on the corresponding Born-level cross sections of 2.5 pb and 7.8 pb, respectively, at the 90% confidence level. The χb0(1P)ω limit is the result of a combination of this analysis and a previous search using full reconstruction.
