I'm sorry, clearly there is a misunderstanding and it is probably from my side, my apologies.
\include "addFingering.ly"
\markup "Plain" {\fragment}
\markup "Inversion" {\inversion c' c' \fragment}
\markup "Transpose"{\transpose c c, \fragment}
\markup "T(I())"{\transpose c c, {\inversion c' c' \fragment }}
\markup "I(T())"{ \inversion c' c' {\transpose c c, \fragment }}
\markup "repeat" {\repeat unfold 2 \fragment}
\markup "addFingering" {\addFingering \fragment #"12"}
\markup "R(F())" {\repeat unfold 2 {\addFingering \fragment #"12"}}
\markup "F(R())" {\addFingering {\repeat unfold 2 \fragment} #"12"}