Im not sure about any specific name for that effect, maybe something along the lines of 'Metallic text effect'? Just try running a search for tutorials on this kind of effect, that should provide some useful results!
As for achieving this effect in Photoshop, the steps below should hopefully be of help to you!
Step 1: Create a new layer and then the text you want.
Step 2: With your text layer selected, go down to the 'Add layer style' button below the layers window (It has a little 'Fx' icon).
Step 3: To begin with, choose 'gradient overlay' and click on the small black to white gradient sample you can see. Now pick the two colours you want to include in the gradient.
Step 4: You will also need to add a 'Inner Shadow' so select that from the left hand side and make sure the checkbox is also ticked. Use the following settings:
- Blend mode: Normal, Colour: A very light grey
- Opacity: 100%
- Distance: 1px
- Choke: 0%
- Size: 1px
Step 5: Now select the 'Drop Shadow' option from the left, again making sure the checkbox is ticked. For this you will need:
- Blend mode: Normal, Colour: Black
- Opacity: 100%
- Distance: 1px
- Spread: 0%
- Size: 7px
Hope this helps! Sorry if its too basic and you were just looking for the right layer style settings, better to be too simple than leave things out :)