1 They introduce each other to their families as spouses. (recomendación)
They should introduce each other to their families as spouses.
2 You speak so loud to your mother.(recomendación)
You shouldn't speak so loud to your mother.
3 You bring any money. I'll pay everything.(obligación)
You needn't/don't have to bring any money. I'll pay everything.
4 You cheat on Liz. She'll be upset if she finds out.(prohibición)
You mustn't/must not cheat on Liz. She'll be upset if she finds out.
5 He have got lost.(deducción)
He might have lost.
6 Come to the party! You meet someone interesting. (probabilidad)
Come to the party! You could meet someone interesting.
7 You have a rest before going out.(recomendación)
You ought to/ should have a rest before going out.
8 I like to work on a new project.(deseo)
I would like to work on a new project.
9 He finish his homework.(falta de obligación)
He doesn't have to finish his homework.
10 You tell Mary about this.(prohibición)
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You mustn't/ must not tell Mary about this.
Resumir con IA:

Está pésimo chavalín, Ought en todos esos caso debió ir con to.
Deberias restar mas atención ougt to es para un consejo mas fuerte que should.
¡Gracias por el comentario!