I don't think my texture feels as cool as your one

In what way? The lighting changes the look of things a lot. The angles of viewing hits object differently depending on the lighting. But most importantly, it doesn't have to look exactly the same. You don't have to do a one to one exactly the same render. 

Also, you are using the Denoiser for the Viewport, that can make a lot of difference with a Noise Threshold of 0.1.

Hi Sergio SSergio4624,

That is a great looking model and texture, very well done.

In regards to your concerns about a different look:
Omar and Martin already made some good points.
I just looked at the course file for this lesson and there are very subtle differences between your values and the course values in the noise textures and colour ramps, but only in some decimal values. When it comes to noise textures those can have an bigger impact on the look than you'd expect though, even with the slightest difference.

However (!!!): I would not worry about it too much. Your material definitely looks like Antique Pewter and would totally pass a test. And you'll likely never see them from this close anyway, unless you make a detail shot. And for that they look great.

Consider it this way: When I buy three of those pulls, they all look a little different from each other too. That's completely normal. If that had been a very dominant feature, like the grain on the wood texture, I would have introduced a randomizer to this material too. In this case that brushing detail is so small though, that you'll never notice it.
Long walk on a short pier: Job well done, material looks the way it should. You're good to move on to the next lesson. 😀

There is however 1 more thing: 

You have connected the Factor (1 dimensional, scalar) Output of the first Noise Texture to the Vector Input of the second Noise Texture.

That should be the Color (3 dimensional, vector) Output of the first Noise Teture.

Also, but this is of less consequence, Sascha uses the Factor Ouput of the second Noise Texture for both Color Ramps:

So, (and you don't need to know this) the difference here is, that the Factor of the Noise Texture is just the Red Channel of that Noise Texture.

When you connect the Color Output to a Color Ramp, Blender converts the Color to a scalar Value by taking the Luminance (0.2126 R + 0.7152 G + 0.0722 B) of that Color.

On closer viewing of your screenshot, I think you actually got that second Noise Texture connected correctly from the Factor Output to both Color Ramps.