There should be some context, because that might change our comments.
I don't think 'they got wedded' is correct at all! "Got wed" might be, except it's not often used unless perhaps in some regions. I seem to recall it being used in my homeland, the far North East. "Time you were wed, lad!"
These days 'wedded' is largely only an adjective ('wedded bliss'; 'I'm not wedded to the idea'), but the Ngram Viewer shows them pretty equal, and clicking into Books shows a lot of old uses of the verb 'wedded' as both a simple past and past participle.