Can going through menopause causes short term memory problem? what's the sings and symptoms?

Transient memory lapse may occur in perimenopausal period but loss of short term memory is not a typical symptom. You can read this article for symptoms of perimenopausal syndrome - https://my.clevelandclinic.org/health/diseases/21841-menopause

Objective measurable changes in either short-term or long-term memory abilities are NOT caused solely by the advent of menopause, and if this happens coincidentally, an underlying alternative cause should be sought.

Short term memory issues like- Forgetting where One left their Car Key - is not unusual as people get older. Mostly it is Distraction and Inattentiveness resultant from the Stress of Life and immediate challenges. Menopause may exacerbate them. But true Forgetfulness and Memory challenges need attention and the PCP or Anti-Aging Physician is where to start.