Is Touring Motor Glider included in the term "aeroplanes"?
To my understanding of Part-FCL, yes.
While aeroplanes is a broad term used in the FCL, they use it in some cases to include both, SEP and TMG, e.g.


  FCL.105.A LAPL(A) —Privileges and conditions (a) The privileges of the holder of an LAPL for aeroplanes are to act as PIC on single-engine piston aeroplanes-land or TMG with a maximum certificated take-off mass of 2 000 kg or less, carrying a maximum of 3 passengers, such that there are never more than 4 persons on board of the aircraft.


and hence


  FCL.210.A (b)  Specific requirements for applicants holding an LAPL(A). Applicants for a PPL(A) holding an LAPL(A) shall have completed at least 15 hours of flight time on aeroplanes after the issue of the LAPL(A), of which at least 10 shall be flight instruction completed in a training course at an ATO. This training course shall include at least 4 hours of supervised solo flight time, including at least 2 hours of solo cross-country flight time with at least 1 cross-country flight of at least 270 km (150 NM), during which full stop landings at 2 aerodromes different from the aerodrome of departure shall be made.


Source: https://www.easa.europa.eu/sites/default/files/dfu/Part-FCL.pdf