The main concern is that an extract may be not just antimicrobial but antiseptic, killing everything. Your first hint will be when it kills both bacteria and fungi. You should plan to counterscreen for toxicity to a mammalian cell line in culture.
One method is to treat a culture of cells, such as an immortalized human cell line (e.g. A562), with a set of serial dilutions of the extract in a 96-well microplate for a day, then measure the metabolic activity of the cells using a tetrazolium dye assay.