The method depends on the type of extract, the solvent, and the composition of the active ingredients in the extract. In general, the drilling method is preferred over the disc method, as it is easier and less prone to contamination.
If your extract is hydrophobic then disc diffusion may not perform well better do broth dilution methods. However no standards are developed for extracts and mm of diffusion is resistant, intermediate and susceptible, broth dilution followed by CFU gives good reproducible data, there are limitations with disk diffusion