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."
Gilbert has released a new line of rugby cleats. The Gilbert Virtuo 8S is part of the exciting new product. Check it out.
The entire All Blacks apparel line has been updated for 2013/14. Check out the New Zealand All Blacks polo.
The Nike Tiempo is a solid rugby cleat and one of few styles still made from full-grain natural leather.
The Gilbert Blitz 8S rugby cleat is a great cleat at a great price of $69.99. Get a new pair of cleats today.
A cool looking all black rugby cleat with the high performance adidas is known for. Get in the Gear!
Wear the crest of the British and Irish Lions on your t-shirt. A great look for the summer.
The All Blacks Performance t-shirt is black with hints of blue from the training jersey. Very Cool.
The New Zealand All Blacks training jersey for 2013/14. Get in the Gear!
The USA Rugby Pro Alternate rugby jersey is perfect for any fan of the Eagles. Get yours to wear during the summer Test matches.
The NEW All Blacks 2013/14 jersey has arrived at World Rugby Shop. Dare to wear the colors of the All Blacks.