By using the notion of generalized pseudo-anti commuting Ricci tensor defined by \(\textrm{Ric} \phi + \phi \textrm{Ric} = f \phi \) for real hypersurfaces in the complex quadric \(Q^m = SO_{m+2}/SO_2SO_m\) , we give a complete classification of Hopf \(({\delta },{\epsilon })\) -Ricci-Bourguignon soliton real hypersurfaces in the complex quadric \(Q^m\) . Next, as an application, we show a complete classification of gradient \(({\delta },{\epsilon })\) -Ricci-Bourguignon soliton on Hopf real hypersurfaces in the complex quadric \(Q^m\) with isometric Reeb flow or contact hypersurfaces.
