Which sentence is correct in American English and why?

bassa1)
a)You will be punished for not being good.
b)You will be punished for being not good.

a) is the correct one. Place "not" in front of an -ing form -- not after it.

bassa2)
a)This is how a team works.
b)This is how a team work.

a) is the correct one. a

Thanks I thought we don't add "s" because we already have "is" in the sentence.

It goes by finite clause -- not by sentence.

There are two finite clauses. Each one is treated separately with respect to the use of that s.

[ This is [ how a team works ] ].

is belongs to the main clause
works belongs to another clause that is embedded in the main clause. The grammar of the verb form here has nothing to do with the is

Thanks

Anonymous:
which sentence is correct in English?:
1- This person has similar ideas with mine
2- This person has similar ideas with me