NeuEve is hormone free. It cannot cause bleeding.
If the color is brown, it may be flushed out old blood. I would not be worry about it too much.
When you have vaginal atrophy and have sex, the tissue may suffer injuries that cause bleeding.
The aged blood was not flushed out due to dryness and lack of mucus secretion.
After you use NeuEve, it may be flushed out due to activated mucus secretion and shows brown color.
If your bleeding is fresh red, please see your Ob-Gyn doctor to check out for other issues.