Corrections in red.  Stylistics in blue.

Proverb

I've been studying/learning English, and when I learn [1] new information, I often remember the Russian proverb:
"Чем дальше в лес - тем злее волки". I think it perhaps translates as "The deeper you go into the forest, the more ferocious will be the wolves."  English is like a forest. At first it's so easy, but
the deeper we go into it, the more difficult it becomes.   

[1]  узнавать, узнать can be translated as "recognize" when you are able to identify someone or something that you have met or seen before.  However, when you encounter something -- such as information -- for the first time, you should translate "узнавать, узнать" with "learn" or "find out".

Proverb

I've been learning English and when I recognize new information - I often remember this Russin proverb:
"Чем дальше в лес - тем злее волки". I think it perhaps translate as "Going deeper into the forest - you'll meet much angry wolves". English is like forest. At first it's so easy, but
farther it's more difficult and more difficult.