What does it mean to have "many" non squamous cells (range is few..moderate or many)ph of 8.5 and leuk esterase of 15 in urinalysis. i do not have infection..culture and sensitivity was negative?

Prob normal. Always repeat a dipstick and microscopic urine test to confirm is my advice. Could be just a bit dehydrated when urine collected. That is you put out a more concentrated urine which can influence many things in urine testing. Then if they differ do another one and take best or 3. Then discuss with your Dr as they should know you better than we do. Such a why urine was done?

The most likely explanation is that there is vaginal material that is getting into the urine when you void. It is not unusual in women as they get older. If there is any real concern about it, a urine specimen obtained by catheter will clarify the situation