Research on photonuclear production of europium (Eu) isomers ^152m,150mEu is helpful for understanding the nucleosynthesis process of the p-nuclide ¹⁵²Gd. Currently, experimental data for photonuclear production of ^152m,150mEu remain scarce, with significant discrepancies persisting between measured and calculated isomeric ratio (IR) for ^152mEu. While nuclear reaction calculations provide an alternative means of obtaining these data, their results are highly sensitive to nuclear model parameters. Therefore, high-quality experimental measurements across a broad energy range are still essential to constrain these theoretical models. Laser-driven electron sources, which are characterized by picosecond to femtosecond pulse duration, ultra-high brightness and high signal-to-noise ratio, provide a novel approach to address the scarcity of photonuclear data for ^152m,150mEu and the discrepancies of IR data for ^152mEu. In the present study, we utilized both the CLAPA laser facility at Peking University and the XG-III laser facility at the China Academy of Engineering Physics to achieve the photonuclear production of ^152m,150mEu in hundred-MeV and Giant Dipole Resonance energy region, respectively. The flux-weighted average cross-sections (FACS) for the ¹⁵³Eu(γ, n)^152m1,m2Eu and ¹⁵¹Eu(γ, n)150mEu reactions were measured. Accordinlgy, the IR value of ^152mEu was extracted in a reasonable way. Using the CLAPA facility, the FACS values for the ¹⁵³Eu(γ, n)^152m1,m2Eu and ¹⁵¹Eu(γ, n)150mEu reactions were measured atE_e=200±28 MeV to be 12.65±2.37 mb, 0.56±0.09 mb, and 10.83±2.70 mb, respectively. Using the XG-III facility, these values were measured at < E_e >=14 MeV to be 37.71±4.63 mb, 0.92±0.05 mb, and 31.23±6.92 mb, respectively. The resulting IR values for ^152mEu were determined to be 0.046±0.006@Ee=200±28 MeV and 0.023±0.003@< E_e >= 14 MeV, respectively. Furthermore, we performed Talys calculations to systematically investigate the sensitivity of the FACS and IR values to nuclear model parameters. It is shown that the FACS curves of the ¹⁵³Eu(γ, n)^152m1,m2Eu and ¹⁵¹Eu(γ, n)150mEu reactions and the IR curve of the ^152mEu exhibit significant dependence on the γ strength function and nuclear level density. It was also found that, despite certain discrepancies between the measured FACS values and theoretical calculations, the overall variation trends remain consistent, indicating that current nuclear reaction models still have room for improvement in accurately describing Eu isotopes. Additionally, the experimentally measured IR values of ^152mEu agree well with theoretical predictions. These results not only enrich the production data for ^152m,150mEu but also provide experimental constraints on existing nuclear reaction models for Eu isotopes.