Headphones not showing up on playback devices

Exactly what headphones do you have? Are they analog or USB connected?

Also, more information on your Toshiba including model number.

It gives the speaker sounds through my headphone instead

What do you mean by that?

UsBlaster usb 360:Has those classic green and pink plugs

I mean that speakers are showing at playback devices but headphones wont show but works but has speaker quality.

Toshiba model:C50-A-1DV

It has IDT High Definition Audio CODEC

I can't find much info on that headset. Along with the headset and mic connections, does it also have a USB connection for power?

One site I saw suggests it has a driver to install.

On many systems, standard analog headsets do not show up with a separate headset listing. My RealTek on my recording studio desktop system does not show Headphones when I plug them in.

As far as the sound quality, the headphones determine that, not the PC.

But my previous headphone was shown why not this headphone I bought?(It was USB connected that old one) I have tested in another computer and its good quality is IDT bad or what?(It was realtek that sounded better but my main is bad)

No it doesn't have a USB connection

USB connected and analog connected work differently. The USB connected is a separate device and in fact does not use the PC's audio chip, it gets the audio data digitally and converts it to analog inside the headset.