Forest saw three penalty calls denied by VAR in Sunday's 2-0 defeat and released a statement at the final whistle.
It read: "Three extremely poor decisions - three penalties not given - which we simply cannot accept.
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"We warned the PGMOL that the VAR is a Luton fan (Stuart Atwell) before the game but they didn't change him. Our patience has been tested multiple times. NFFC will now consider its options."
The result leaves Forest two points above the dropzone.