Had a look on the web for you one site refers to breeding and the following section might be relevant depending on how long you've had them:

When she carries the eggs in her mouth, the symptoms are more than evident, as well as a swollen throat (noticeable or not) she shows an apathetic behaviour, staying out of the way of all males and refusing to eat. She seems to seek food, but obviously cannot swallow it, just staring at it. She also moves her mouth often, just like she was chewing something (obviously the eggs), and when she swims up to breathe loses some bubbles on the way down. (Concerning this, some authors mention that she also occasionally loses one or two fry, that are quickly swallowed again, but I have never seen this).

http://www.aquarticles.com/articles/...e_Gourami.html

Also this from another forum:

Pink Kissing Gouramis not eating
My kissing gouramis which I purchased two days ago are not eating flake food or brine shrimp. The tetras and mollies I have in the tank with them eat fine. It is a 55 gallon tank and the temp is fine. What can I do to get them to eat?
< Give them a few days to get use to their new surroundings. When they get hungry they will eat. There are actually very good algae eaters and are often seen "kissing" plants and rock when they are actually eating algae.-Chuck>

Re: Pink Kissing Gouramis not eating
I didn't' find any info helpful there, and they are still not eating. Please help.
< With no external symptoms then I am going to assume that they may be in the early stages of an internal bacterial infection. The best way to treat this is with Metronidazole. Do a 30% water change and service the filter. Vacuum the gravel if it has not been done in awhile before treating the tank.-Chuck>

http://www.wetwebmedia.com/FWSubWebI...ouramifaqs.htm

Hope this helps