They

should have lived in chennai

They

should not have lived in chennai

They

Could not have lived in chennai

They

May not have lived in chennai

ALL +

Should not have + A3

ALL +

Should not/Must not+ A

ALL + CANNOT+ A

ALL +

Would not have / May not have /Might not have+ A3

Raja is playing

is Raja Playing ?

Has Raja been playing?

Will RAja be Playing

Do not / Does not + A

am not / are not / is not + A1

All + Did not + A

Don't + A

All + had been + A3

All + have been + A3

All + had been + A1

All+Can+A

He could not have played / He must not have played

She could not have cooked / She must not have cooked

He would not have/may not have/might not have played

He should not have played

He should not play football / He must not play football

He cannot play football

He could not play football

He can play football

Am / Are / Is + A1

Was / were - A1

A / A+S

All+A