How can I add my newly deployed token to coinbase to put it for trading, how can I associate to it a certain value in dollars? Is it something similar to the liquidity pools of the AMMs where you provide both the token amount and its counterpart and that would be the initial value of your token in that token?
If you mean the centralized exchange Coinbase, then you need to discuss with them about getting your token listed. It's most likely a very difficult and expensive process, and hard to get it listed.
The value for a token in a centralized exchange is initially decided by the exchange. After that it starts fluctuating based on supply and demand. But no, you don't provide a counterparty for it in a centralized exchange.