How do I create an effect on an object similar to this on Illustrator?

[Albacore]

I agree with Mike here, I think that was done in PS. If you were to do it in Illy then the suggestion of using Gradients is right for the text. Also use use 3D -- Extrude & Bevel form the effects menu for the text as well. Unless you have the most recent version the very small shadow line behind the gold text might be hard. You could try a duplication and Place backward, Ctrl+[
Now the background is hard but maybe done using the Pen Tool over the dark brown rectangle background and then use the pattern tool after saving lines and rectangle as a Symbol. After that I might just place a linear transparency over the whole lot to give the angled effect in lighting. After thought it might be better to do that bit in PS, just copy & paste.
Here are a few gold gradients for you to play with. hope that helps and don't hesitate to come back if you need more help.