Does BMS lodge with the ATO or write into MYOB?

Not offered

No, on both counts. These are deliberate limits.

• BMS does not lodge with the ATO. Lodgement stays in your MYOB tax software. BMS reads only the ATO lodgment status report you upload; see Upload the weekly ATO lodgment status report.
• BMS does not write into MYOB. Anything going into MYOB AE, such as time from Export for MYOB or receipts from Bank Matching, is a file your own admin imports in MYOB AE.

See What BMS will not do with MYOB AE.