Having not featured since January 2018 due to injury, Brewster made his comeback with a 45-minute appearance against Northwestern University at the Kirkby Academy.
Teammate Alex Oxlade-Chamberlain watched on as it only took six minutes for the 18-year-old to appear on the scoresheet once again.
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Brewster curled in a spectacular long-range effort before instinctively pouncing on a rebound for his second in an eventual 4-0 win for Critchley's side.
"It was great to have Rhian back," Critchley told Liverpoolfc.