I've saw a post of someone from Deviantart with a simple drawing, claiming that Edward Grotte after getting his project of T-22 rejected due to complexity and high costs re-designed the tank. As he says, in 1935 Edward Grotte brough to Stalin the project of T-22 without turret armed with 37mm cannon, and side machine guns, what brought the costs of the tank low enough for Stalin to accept it. He states, that around 500 were produced, and even took part in battle against germans in 1941. Thing is, I cannot find any online article, not even a single image that would support his words.
So, did Grotte really re-designed his tank, or after failure in 1932 he gave up ?
The issue with Grotte's tank wasn't only cost, it was the poor reliability as well. As a rule, reliability drops when a tank is simplified to make it cheaper, so that would be entirely unacceptable. The turret and machine guns would have made up a tiny fraction of the cost anyway, it's unlikely that such a small change would suddenly make the vehicle cost effective.
That being said, Grotte did indeed continue to design tanks and pitch them to the USSR, but his designs were not evaluated very highly. I don't have any data about a TG-2, but the fact that a TG-3 was pitched in December of 1931 makes me thing that the second model didn't do very well. The TG-3 was judged as even worse than the TG-1.
It would also be very unlikely that after his services were rejected in 1931 he would return 4 years later with a brand new design, especially after relations between Germany and the USSR turned sour. Tank production for the second 5 year plan outlined in 1934 also does not describe any such tank. It would also be impossible to produce the tank as the PS-19 76.2 mm gun the TG-1 was armed with never entered mass production. A weapon with equivalent characteristics would not be produced until the L-11 gun in 1939.
Finally, the main Soviet medium tank of the interbellum period, the T-28, was in production from 1933 to 1940 and just over 500 were built (the exact number differs depending on the source). The T-28 was the most numerous medium tank built in any nation during the interbellum years. If 500 units of Grotte's tank were built then it would be a tremendous accomplishment and a very significant event for the tank industry. The USSR hosted several large military parades annually at which tanks (including the T-28) were demonstrated. A tank making up half of the Red Army's medium tank strength would certainly have been shown.
Sources:
http://www.tankarchives.ca/2015/05/tg-3.html
http://www.tankarchives.ca/2016/09/second-five-year-plan.html
Solyankin, Zheltov, Pavlov, Pavlov, Sovetskiye sredniye tanki 1924-1941