I had what they called pantry moths at one time...and Terminex was able to use a special moth birth control spray that they said was NOT harmful to my cat. They said that gradually, over a period of a month or so, the moths would no longer be able to reproduce...and it worked.

I tried to research what they used for you, but can't find it.

One VERY helpful tip I found was to get rid of all my bags of flour and cornmeal and other opened bags of things that they like to eat...and I also found that if there was no open source of water anywhere, they died of dehydration.