The e + e − → ωη and e + e − → ωπ 0 π 0 processes are ideal platforms to search for higher ω states. Focusing on the observations of two enhancement structures around 2.2 GeV existing in e + e − → ωη and e + e − → ωπ 0 π 0 at BESIII, we analyze how the ω(4S ) and ω(3D) states play the role in the e + e − → ωη and e + e − → ωπ 0 π 0 processes. The present study is supported by theoretical ω mesonic spectroscopy. For reproducing the data of the cross sections of e + e − → ωη and ωπ 0 π 0 , the intermediate ω(4S ) and ω(3D) should be introduced, which indicates that the enhancement structures around 2.2 GeV existing in e + e − → ωη and ωπ 0 π 0 contain the ω(4S ) and ω(3D) signals. Nonetheless, in the process e + e − → ωη, the ω(4S ) plays a dominant role, while the ω(4S ) and ω(3D) have similar sizable contributions in the process of e + e − → ωπ 0 π 0 , which leads to a difference in the line shape of enhancement structure in the cross sections under the interference effect. Thus, we find a solution to alleviate the puzzling difference of resonance parameter of two reported enhancement structures around 2.2 GeV existing in e + e − → ωη and e + e − → ωπ 0 π 0 at BESIII. The present study provides valuable information to construct ω meson family, which can be accessible at future experiment like BESIII.