We report the first measurement of fully corrected semi-inclusive charged recoil jets for both direct-photon ($\gamma_{dir}$) and $\pi^{0}$ triggers, within two trigger transverse energy ranges between 9 GeV and 15 GeV, in central Au+Au collisions at $\sqrt {s_{\rm NN}}$= 200 GeV using data with an integrated luminosity of 13 $\rm nb^{-1}$ collected by the STAR experiment. A comparison between $\pi^{0}$-triggered recoil jets in p+p collisions and PYTHIA is discussed. A comparison is also presented between the suppression of $\gamma_{dir}$- and $\pi^{0}$-triggered recoil jets in central Au+Au collisions with respect to their corresponding PYTHIA references. A strong and similar level of suppression is observed in recoil-jet yields as a function of jet transverse momentum for $\gamma_{dir}$+jet and $\pi^{0}$+jet