Both Ribery and Bayern's other veteran winger Arjen Robben, 34, are out of contract in June and the pair hope to be offered extensions in the coming weeks.
Ribery, who has spent a decade at Bayern, rolled back the years by scything through Leverkusen's defence and slamming home Bayern's superb second goal.
Javi Martinez gave Bayern an early lead while Ribery's super second-half strike made it 2-0.
The defeat broke Leverkusen's 14-match unbeaten run in all competitions, dating back to the end of September, but the hosts stay fourth in the table.
Bayern paid Hoffenheim around 13 million euros ($15.4m) last month for Wagner, who was signed as back-up for their top-scoring striker Robert Lewandowski.
The Poland star is returning to full training after a knee injury, but Heynckes opted to start Thomas Mueller up front for Bayern.
While goalkeeper Manuel Neuer is still recovering from a fractured foot, Mueller wore the captain's armband and Sven Ulreich was in Bayern's goal.
Bayern took a deserved lead on 32 minutes when Martinez slammed home from close range.
The 20-year-old showed a glimpse of his talent by cutting in from the right, beating two players and clipped the crossbar with his shot.
Ribery then made sure of the three points on 59 minutes in emphatic style.
However, the goal sparked Leverkusen into life.
Germany striker Volland, who is on the fringes of the national team, tested Ulreich and then took his chance.
The 25-year-old beat David Alaba, Ribery and Vidal, then wrong-footed Suele before firing home on 71 minutes.
However Rodriguez, on loan from Real Madrid, showed his class by cooly slotting home a free-kick on the edge of the area after being fouled just outside the box.