You need to read 61.1230 carefully (and the clue is in the title), what it's saying is:
If you're doing a flight review or certain endorsement training independently AND it's not under a Part 141 or 142 holder you are comitting an offence if you don't make a record of the training within 7 days of completing the training. Over the page it says under (2) you must keep those records for 7 years.
If you're delivering the training under a Part 141/142 organisation it's their responsibility to make sure the records are created and retained for 7 years. (See 141.275 and 142.355)
Any endorsement training towards adding something to a rating (ie adding privileges to an instrument or instructor rating) must be delivered by a part 141/142 holder. This is addressed in 61.1230 (1)(a) - "other than endorsement on an operational rating".
as someone has said, "it's not that hard, really"