A carrier rack adapter kit for adapting a luggage carrier rack (2A, 2B) of a bicycle, said carrier rack adapter kit comprising: - an auxiliary luggage carrier structure for being mounted above the luggage carrier rack; - at least one rod clamping assembly for clamping a rod (2A; 2B) of the luggage carrier rack, said rod clamping assembly comprising a first rod clamping head and a second rod clamping head, comprising a first rod clamping outer surface portion and a second rod clamping outer surface portion, respectively, said rod clamping assembly being configured for clamping said rod in-between the first rod clamping outer surface portion and the second rod clamping outer surface portion; and - at least one fastening bolt having a longitudinal bolt direction; wherein, in assembled condition of the carrier rack adapter kit: - the fastening bolt is holding the auxiliary luggage carrier structure and the rod clamping assembly together in such manner that: - the first rod clamping head is held at least partly in-between the auxiliary luggage carrier structure and the second rod clamping head; - the fastening bolt is extending via a first passageway through the auxiliary luggage carrier structure, via a second passageway through the first rod clamping head, and via a third passageway through the second rod clamping head, wherein (i) the second passageway allows for relative movement between the fastening bolt and the first rod clamping head in a direction perpendicular to the longitudinal bolt direction, and/or (ii) the third passageway allows for relative movement between the fastening bolt and the second rod clamping head in a direction perpendicular to the longitudinal bolt direction; and the first rod clamping head and the second rod clamping head further comprise a first inclined outer surface portion and a second inclined outer surface portion, respectively, which are facing one another, and which are having respective inclinations relative to a reference plane which is perpendicular to the longitudinal bolt direction, whereby, in reaction to a tightening action on the fastening bolt, shear forces along said first inclined outer surface portion and said second inclined outer surface portion are urging the first rod clamping head and the second rod clamping head to move relative to one another in an inclined direction relative to said reference plane, thereby urging the first rod clamping outer surface portion of the first rod clamping head and the second rod clamping outer surface portion of the second rod clamping head to perform a first relative movement (81A; 81B) towards one another. - an auxiliary luggage carrier structure for being mounted above the luggage carrier rack; - at least one rod clamping assembly for clamping a rod (2A; 2B) of the luggage carrier rack, said rod clamping assembly comprising a first rod clamping head and a second rod clamping head, comprising a first rod clamping outer surface portion and a second rod clamping outer surface portion, respectively, said rod clamping assembly being configured for clamping said rod in-between the first rod clamping outer surface portion and the second rod clamping outer surface portion; and - at least one fastening bolt having a longitudinal bolt direction; - the fastening bolt is holding the auxiliary luggage carrier structure and the rod clamping assembly together in such manner that: - the first rod clamping head is held at least partly in-between the auxiliary luggage carrier structure and the second rod clamping head; - the fastening bolt is extending via a first passageway through the auxiliary luggage carrier structure, via a second passageway through the first rod clamping head, and via a third passageway through the second rod clamping head, wherein (i) the second passageway allows for relative movement between the fastening bolt and the first rod clamping head in a direction perpendicular to the longitudinal bolt direction, and/or (ii) the third passageway allows for relative movement between the fastening bolt and the second rod clamping head in a direction perpendicular to the longitudinal bolt direction; - the first rod clamping head is held at least partly in-between the auxiliary luggage carrier structure and the second rod clamping head; - the fastening bolt is extending via a first passageway through the auxiliary luggage carrier structure, via a second passageway through the first rod clamping head, and via a third passageway through the second rod clamping head, wherein (i) the second passageway allows for relative movement between the fastening bolt and the first rod clamping head in a direction perpendicular to the longitudinal bolt direction, and/or (ii) the third passageway allows for relative movement between the fastening bolt and the second rod clamping head in a direction perpendicular to the longitudinal bolt direction;