I installed Metamask extension on another device in my home and did the import using secret recovery phase to login and it asked to create a new password, why new password needed and why cant I use my previous old password?
Just to add on what @vv181 said, the objective of a recovery phrase is to be able to recover access to your addresses even if you lose all other details including device, password etc, you can also import it to a different software from the one you used to create it.
Hou can of course set your new password to be the same as the old one if you remember it, but it functions as a single step process to gain access to an addres, hence the phrase; "not your keys; not your coins".