The Blues won 3-2 thanks to Conor Gallagher's final minute goal.
Farke later said: "Very proud of this performance, but congratulations to Chelsea they were clinical today.
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"In the second half we had more possession, more shots at goal and more expected goals.
"I left many key players out and young players in central places Mateo Joseph (did well) Archie Gray 17-year old in midfield (did well) and for that I am proud of their performances.
"No coincidence that we scored the second goal, we wanted to dominate possession in order to our stick to our beliefs - many compliments to my young lads."