Simple past tense and past participle of shrug off.
Wiktionary
Shrugged-off Sentence Examples
South shrugged off this disappointment and were back on terms soon after.
Carmen shrugged off an uncomfortable feeling that something was amiss.
Tired of puzzling over the world around her, Lana shrugged off the rucksack, pushed Jack over, and lay down with him.
He shrugged off the raincoat and stepped out of the wet trousers, using one of his smaller towels to partially dry off before slipping on pajama bottoms and a long-sleeved shirt.
Twinkling; the momentary pause is awkwardly shrugged off.
