While solving blindfold, I'm facing this rather icky situation where a cycle of edge or corner pieces end with an inverted piece. For example, if I start a cycle with B (White and Red) and it ends with M (Red and White). Do I need to remember this while solving or is there another way, because all I understand is that if I leave that piece as M, I'll find another inverted edge piece in the end to adjust this with.
For example, let us consider the following scramble : R' B' U' R' F' R2 D' R L' B' R' L D2 U2 L D2 U B2 R U F2 U R2 U F
I did this with green face as FRONT and white face as TOP. Now using usual nomenclature of edge pieces by Upper Case letters and corner pieces by Lower Case letter, I get a cycle as "BGLPOHUCDM". One may notice that B (WHITE-RED) and M (RED-WHITE) denote the same edge piece but in different order.
Hence, my question is : Is there any way to avoid such event or if not, how to tackle this with a little more style?