Mohamed Salah opened the scoring after just three minutes, however a jaw-dropping strike from Victor Wanyama late sparked a frantic ending to the clash.
Harry Kane was awarded a penalty after being judged to have been brought down by Loris Karius, with Moss and linesman Eddie Short concluding a touch from Dejan Lovren negated the fact the Spurs striker was offside.
The England striker missed that penalty, but Kane - after Salah scored what looked to be a sensational winner for the Reds - made no mistake when afforded a second chance following Virgil van Dijk’s foul on Erik Lamela.
Klopp, incensed and confused by the decision making, which proved correct, says Moss wanted to be the centre of attention.
"Did you ever hear? I am not allowed to go in their room until half an hour after,” Klopp told Sky Sports when asked if he’d had an apology from the officials.
“It was clear offside [for the first penalty], unbelievable, I don't know what they were discussing.
"Yes, Virgil van Dijk touches him, but we all know Lamela wants the touch and we all know they were so many hard fouls in the first half and yet we didn't get any fouls.
“That was the level for the game today, but then a situation in the last minute like that? Wow. He wanted to be the middle of interest today and he is."
Read more: LFC 2-2 Spurs - Match report