Everything in the tank would eat the baby fish, except the snails and the parents. Power filters also suck them up.
If you want to breed dwarf gouramis, set up a 2 foot tank and put a pair in it. Have lots of plants, in particular floating plants like Water Sprite (Ceratopteris thalictorides/ cornuta).
Have an air operated sponge filter.
A thin layer of gravel.
A heater and coverglass.
Feed the fish 3-5 times per day with a variety of dry, frozen (but defrosted) and live foods. Do big water changes and gravel clean the substrate every day or two while feeding more often so the tank stays clean.
Let the fish breed. The male builds a bubblenest on the surface among the floating plants. The female lays eggs that get fertilised by the male and then put in the bubblenest. The male guards the nest and looks after the babies for the first few weeks.
The babies need very small food like infusoria, green water or boiled egg yolk. The following link has information about culturing food for baby fish. Most cultures take a month or more to get going so you need to start them well before you breed the fish.
STARTING OUT Make sure you have a pair, (1 male + 1 female). There is nothing worse than spending your hard-earned dollars buying a couple of fish to try and breed and ending up with a pair of fish of the same sex. Let's face it, to reproduce fish you need a male and a female. Two males won't do...
www.fishforums.net
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If you get a female gourami, quarantine her for a month so she hopefully doesn't introduce any diseases into your main tank. Same deal with any new fish.