I don't know how a long term memory test would work except that some NeuroPsychs spread their tests over 2 or more days. They may have a long term memory test.

If your short term memory is OK but long term is not, you may have sleep issues that need to be addressed. Daily memories get stored into long term memories during REM sleep. Inadequate REM sleep will limit this. Sleep apnea can often be a culprit.

There are a variety of coping mechanisms that can be used. Note taking, lists, etc. can help. Research shows that using smart phones and tablets with calendars, quick notes, voice recordings, etc can be helpful.