I was just clarifying if that is, in fact, what he was talking about.
I would say one step better than only over-under grip (thats what I call it) is double overhand. I train my deadlift with double overhand until I cannot grip the bar properly anymore. Then I switch to over-under to finish my set/reps.
I definitely don't recommend straps unless you absolutely need them for a max attempt (still shouldn't really need it) or you have some sort of wrist/forearm injury (and even then straps may make that worse).
There is also supplemental grip work you can do to increase your grip strength such as rope/towel chin ups, grippers (springy hand things), plate pinches, fat bar deads (or any kind of pull)... etc
Hope this helps,