Do you put Latisse on at night and then wash it off in the morning before putting makeup on?

You won't have to "wash off" latisse because it gets absorbed by your upper lash line. Nothing will be there in the morning to wash off, so you can put on your makeup as usual.

Latisse is applied with the sterile eyebrush to the upper eyelid before bedtime.  In the morning, perform your usual hygiene routine. Try not to allow drops to run down the eyelid or face or apply to the lower eyelid as it can darken the skin.

Latisse is applied nightly with a disposable brush which is included with product. It is gently applied along the base of the upper eyelashes. After three or four months, Latisse can be used much less frequently to maintain longer, thicker lashes. Latisse is quickly absorbed by the eyelid skin and the hair follicles so you will not be washing it off in the morning to ruin its effect. Washing and make up in the morning should be your normal routine.

The best time to apply Latisse is at night before you got to bed so it is absorbed into the lash line while you sleep.  Basically when you get up in the morning and wash your face as normal you are not washing away the Latisse as it has already absorbed.  You can follow your normal beauty routine in the morning after cleansing your face and the Latisse will still be doing what it should to give you the results you are looking for.