、。
After dinner was over, they enjoyed a game of cards.
Literal
Dinner [subject-が] end-[past-った] after, they [topic-は] cards [object-を] do-[and-て] enjoy-[past-んだ].
Two time-marking pieces: 終わった後 ('after it ended') uses the past-tense relative clause modifying 後 ('after'), and トランプをして楽しんだ chains two verbs with a te-form — doing cards and enjoying. The te-form here expresses manner ('enjoyed by playing cards') or sequence. A cozy evening scene.