If I enter a word in
http://tulks.valsts.lv/search/

e.g., cracked, I get

http://tulks.valsts.lv/translation_291/

But the correct link is

http://tulks.valsts.lv/english/translation_291/

What should be changed in the search code (it is default now)?

Thanks.

You mean the search results link? You need to update your search results path in the weblog path settings.  Admin -> Weblog Administration -> Weblog Management -> Edit Weblog -> Search Results URL.

Yes! Thanks a lot!