Simons was sent off after clattering into the back of Reds captain Virgil van Dijk halfway through the first-half.
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He has since taken to social media to apologise for his actions.
Simons posted: "Errors happen. Van Dijk is my captain (for Holland). I would never consciously hurt him or others.
"To my Spurs teammates, my coach and the fans. I take responsibility.
"I'm really sorry."
Defeat to Liverpool has left Spurs sitting 13th on the Premier League table.