Um, are you sure you have the right game? There are no infantry in Sins of a Solar Empire, just ships. But if you really do mean this, try this.
1. Always buy the first two (one for asteroids) population upgrades on new planets ASAP. The surest way to kill your economy is to fail to do this.
2. Acquire nearby "neutral" extractors in nearby asteroid fields, plasma storms etc. to boost your metal/crystal income. They are free and provide a little better income that regular buildable extractors.
3. Be careful what you research. While some items like terran planet population bonuses pay for themselves rather quickly, others do not, and its usually better to wait researching them until you're in a better position.
4. Don't overinvest in trade ports or refineries. The best way to make money in Sins is to acquire new planets. Don't start putting trade ports down until A. Your military is strong enough to protect them and B. You can no longer easily expand to nearby planets.
Thats about the best general information I can think of. With improved cash flow, you'll naturally be able to build more and better ships. If you have some more specific questions feel free to ask.