If you mean Russian accent when speaking English, then it comes mainly from difficulties pronouncing sounds that have no direct equivalent in Russian (e.g. the sounds represented by R, W, TH), or those that do but where it's pronounced noticeably different (e.g. I/И). These are mostly the same for all dialects of Russian.
However, Russian itself has plenty of dialects that can be quite different from the language standard, and there are certain characteristic variations that can readily pin one's geographic origin. For example, standard Russian tends to pronouce unstressed О as А (or rather as shwa biased towards A), but this is most pronounced in southern dialects, and is missing from most northern ones. Similarly, Г in standard Russian is pronounced same as hard G in English, but in southern dialects it tends to become something more like GKH.
As with other countries, dialectal variety has been significantly reduced through universal education (that tends to enforce the standard and frown upon dialects as "uneducated speech") and mass media. The historical tendency for authoritarian and highly centralized governance, both during the imperial period and later in the USSR, exacerbated this.
However, Russian itself has plenty of dialects that can be quite different from the language standard, and there are certain characteristic variations that can readily pin one's geographic origin. For example, standard Russian tends to pronouce unstressed О as А (or rather as shwa biased towards A), but this is most pronounced in southern dialects, and is missing from most northern ones. Similarly, Г in standard Russian is pronounced same as hard G in English, but in southern dialects it tends to become something more like GKH.
As with other countries, dialectal variety has been significantly reduced through universal education (that tends to enforce the standard and frown upon dialects as "uneducated speech") and mass media. The historical tendency for authoritarian and highly centralized governance, both during the imperial period and later in the USSR, exacerbated this.