Hey there,

My company just converted over from desktop to QBO this January 2018 and yes, the memorized transactions did come over.  Ours did need a lot of manual data correcting though.  In the customer info page, we had to manually change the Payment and billing, 'preferred delivery method' to 'None' so it would automactically email to our customers.  We also had to ensure the actual recurring ticket had the customers email in it and options for card payments were selected.