Hello. My car is ES300 1998.
I accidentally broke the faucet that connected to the tube in the picture while trying to change EGR Vacuum Solenoid today. I temporarily put it on a strong glue, but it seems that it is not sealed.
I don't know what this part is... Please let me know what is it.
And how much it will cost to repair?

 

The part number should be on the unit, it is called a vacuum switching valve. It is one of these two the parts diagram doesn't give enough detail to know exactly.

25860-20020 NO.2
25860-62010 NO.1

Here's what NO.1 looks like
https://www.ebay.com/itm/123053885067
https://www.ebay.com/itm/152573585395

 

You can find that part in a lot of Toyota models with the 1MZFE. Pretty much everything with that engine (i.e. V6 Camry 1MZ, V6 Solara, Sienna, RX, ES, Avalon). I would pick n pull that part.