Its RSA train Lucknow YPR SF arrives at 1640 on Sundays. This MAQ train depart at 2355 and returns back on Tuesdays, and departs to Lucknow on Wednesdays.
Being SWR train, this should run via Mysore, Hassan to MAQ. On Mondays, It can start at 0600 from YPR to reach MAQ via Mysore at 1745 No pf issues at MAQ as this slot is anyway used at present.
With this, one weekly train is made available for Ramanagaram Mandya Mysore to Mangalore.
There...
more... are no reason for SR PGT to deny this arrangement, as there are no changes in PF or slot at MAQ. If SR PGT want, they can run a train via SRR for their areas.