Romano Schmid fired Austria ahead in the 20th minute with a thunderbolt strike. Jordan responded quickly after the interval when Ali Olwan found space in the box and fired past the goalkeeper to equalize in the 46th minute.
Marko Arnautovic had a goal ruled out for handball in the 69th minute following a VAR review. Austria retook the lead seven minutes later when Yazan Al-Arab deflected a Marcel Sabitzer corner into his own net.
Arnautovic sealed the three points from the penalty spot in the 90th minute after Salim Obaid was penalised for handball. Olwan was named man of the match, marking a strong individual World Cup debut and Jordan's first-ever goal at the tournament.
Austria's victory positions them well in Group J alongside Argentina, who beat Algeria 3-0. The result marks a successful return for the Austrian team, who had not competed at the World Cup since 1998.
Austria's dominant opening could shift Group J odds and tournament-wide expectations after their 28-year absence. Bookmakers may adjust Group J prices following the convincing victory, while Jordan's competitive showing could attract value-seekers backing the debutant outsiders.
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