First please ensure that all optional settings in Quicken pertaining to recall, memorization, automatic categorization and renaming of payee names are enabled. You find those settings in Edit / Preferences / Data Entry & Quickfill and Downloaded Transactions. Additional settings can be found for the detection and processing of transfer transactions in Edit / Preferences / Transfer detection.
In case you have issues with transfer transactions not being generated correctly:
For best results manually enter transfer transactions into your register BEFORE you download transactions from the bank which contain the transfer confirmations. For recurring transfers use scheduled reminders and enter them a day or two before the due date. Be sure to use distinct Payee Names for each transfer / credit card payment to avoid confusing Quicken - memorized payee entries. That takes the guesswork out of the download process. Because a correctly entered transfer transaction already exists in your account registers, the download should just match the downloaded transfer transaction to the existing one in both accounts.