The 19-year-old struck in the 84th minute -- seven minutes after coming on for his first taste of the Champions League.
Rashford scored two goals on his United debut against Midtjylland in the Europa League in 2015 and a few days later marked his first Premier League action with two goals in a 3-2 victory over Arsenal at Old Trafford.
Last year he scored in his first League Cup match against Northampton Town and followed that by scoring in a friendly against Australia on his full England debut.
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Rashford scored his first competitive goal for England last week against Slovakia in a World Cup qualifier.
(Reporting by Martyn Herman; Editing by Ken Ferris)
