Arrangement for doors or windows, comprising - a first and a second carriage (4, 5) for the movable arrangement in a groove of a sliding leaf of the doors or windows and for the travelling arrangement on a running rail of a lift-and-slide espagnolette fitting of the doors or windows, and - a first and second coupling device associated respectively with the first and second carriage (4, 5) for connecting the carriages (4, 5), with the first and second coupling device each forming with the first carriage and second carriage respectively an integral assembly unit, with the first coupling device being accommodated in a supported manner on an open end of the first carriage pointing to the second carriage, and the second coupling device being accommodated in a supported manner on an open end of the second carriage pointing to the first carriage, and with the first coupling device, connected with the second coupling device by a connecting rod in a form-fitting and/or force-fitting manner, coupling the first carriage with the second carriage, with a movement of the espagnolette fitting being transmittable from the first carriage movably connected in the groove of the sliding leaf to the second carriage, characterised in that the first and the second coupling device, each having a height adjusting device, are arranged opposite the first carriage and the second carriage respectively, said height adjusting devices each consisting of a first and a second adapter piece (11, 12), with the first adapter piece securely accommodating the connecting rod in a form-fitting and/or force-fitting manner by way of an internal recess, and the respective second adapter piece connected to the first carriage and the second carriage, with the first and second adapter pieces (11, 12) each being steplessly adjustable relative to one another on one of the longitudinal ends by being inserted into one another, with the respective first adapter piece comprising a contoured recess and the respective second adapter piece forming a complementarily contoured moulding and respective first and second adapter pieces (11, 12) each being randomly and fixably positionable by way of an adjusting screw, and when the height adjusting device is adjusted for the respective first carriage and second carriage the connecting rod can be steplessly moved in the same direction perpendicularly to the movement direction of the carriages (4, 5) in a position which is horizontal to the groove. - a first and a second carriage (4, 5) for the movable arrangement in a groove of a sliding leaf of the doors or windows and for the travelling arrangement on a running rail of a lift-and-slide espagnolette fitting of the doors or windows, and - a first and second coupling device associated respectively with the first and second carriage (4, 5) for connecting the carriages (4, 5), with the first and second coupling device each forming with the first carriage and second carriage respectively an integral assembly unit, with the first coupling device being accommodated in a supported manner on an open end of the first carriage pointing to the second carriage, and the second coupling device being accommodated in a supported manner on an open end of the second carriage pointing to the first carriage, and with the first coupling device, connected with the second coupling device by a connecting rod in a form-fitting and/or force-fitting manner, coupling the first carriage with the second carriage, with a movement of the espagnolette fitting being transmittable from the first carriage movably connected in the groove of the sliding leaf to the second carriage,