Tries from Lua Lokotui and Fetu'u Vainikolo and 11 points from the boot of Fangatapu Apikotoa earned Tonga a memorable win at Pittodrie.
Greig Laidlaw kicked five penalties for Scotland, who were blunt in attack, as Robinson's men slumped to a third defeat of the autumn following losses to New Zealand and South Africa.
Scotland, whitewashed in the RBS 6 Nations, have now lost 10 of their past 13 Tests.
Asked about his own future, Robinson said: "We'll look at everything."
He added: "That was a totally unacceptable performance we've witnessed today.
"From my side I'm very angry. There will be consequences because of this performance. I won't go through yet what those will be.
"It reflects on me."
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