The harm caused by ionizing radiation is well known and is performed by depositing energy from the radiation source into the irradiated material. Biosystems fight back to maintain their integrity and functions. Doing so requires external help where important supplements are provided to enable the biosystem to challenge destruction done by irradiation in the form of ionization and free radicals. This work investigates the effect of Moringa oleifera leaves extract, MOLE, on two different gamma radiation dose rates’ damages on the biosystem. This is done by estimating physical parameters that belong to dielectric factors, static permittivity, or based upon them as thermodynamic state functions; changes in Helmholtz free energy, internal energy, and entropy of the sample under assessment. Good sensitivity to factors causing changes in the studied system's net dipole moment is noticed, especially within the 1st week. The help of MOLE, a natural supplement, to the biosystem repairing the damage caused by irradiation was tested. Data indicated that MOLE has a powerful influence that could help the biosystem, based on its vast nutrients, trace elements, and antioxidants to fight radiation damage.