It is difficult to miswire an ignition transformer, they are generally center grounded and as long as they are not dented and mistreated, they last a long time. Ignitors in poor condition may cause exccessive amperage to flow, so check the ignitors - or just replace them with brand new ones in proper distances.
Overheating ttransformers can cause them to shift wires, short and fail, so look for overheating from flame burning back into the burner body. Wayne burners are often used for high pressure chamber conditions, but they may not survive excessive back pressure. Chimney back pressure may exist under some wind conditions, so look there with instruments. It is possible to mount the transformer off the burner, running ignition wires to the ignitors.
Wayne oil burner * end hinge transformer
France ignition transformer # 5LAY-03
also replaces the following other transformers;
Allanson 2721-619, Dongan XD-WN202, SH # T93,
and Webster 313-28AB91
Wayne Blue Angel ignition transformer 5LAY-31