Small Transport
Air Traffic Control Fully Certified
Air Traffic Control Radar 25
Situational Awareness; Training / Qualification
ATC Issue All Types; Deviation - Track / Heading All Types; Deviation / Discrepancy - Procedural Clearance; Deviation / Discrepancy - Procedural Published Material / Policy; Inflight Event / Encounter CFTT / CFIT
Air Traffic Control Issued New Clearance
Procedure
Aircraft X was issued a heading on departure to avoid VFR traffic in the area by my trainee; NW bound. Turn NW bound without a climb was not enough of a turn to completely avoid the MVA in area and the aircraft 'Rode the boundary' of the 2;500 MVA at 2;000 for 2 miles before a climb was issued.  Climb the aircraft earlier or turn out further west to avoid the MVA.
RSW radar Instructor reported developmental failed to climb traffic resulted in entering a higher MVA.