This is hard to diagnose because it seems like the session data is incomplete. You have a preboil gravity recorded as 1.071, but post mash is only 1.058? BeerSmith expects the difference to be from kettle sugars and your recipe has none. The mash efficiency is calculated from the post mash number you fill in. If that's brought up to 1.071, your mash efficiency is 71%.
The volumes you recorded don't match what your equipment profile expects. You recorded 5 gallons both pre and post boil, but your profile expects 1.5 gallons of boiloff to concentrate the wort. If you had 1.080 at 5 gallons post boil, then you should have had 6.35 gallons preboil at 1.071. Adjusting preboil volume for this gives mash efficiency at 64.7%, much better than the 58% BeerSmith estimated.
The equipment profile has no losses for trub. Although the batch size is 5 gallons, the estimated post boil volume is 5.5 gallons there. Just adding 0.5 gallons of trub loss, plus making the post mash gravity and preboil volume correct, raise the estimated brewhouse efficiency to just under 64%, much closer to what you seem to have achieved.
The bottom line is to just make sure your measurements are accurate and incorporated into the equipment profile. It can take many brew sessions to dial it all in.