Assist the man with logistics, initially, and sulk (4,3)
I believe the answer is:
help out
'assist' is the definition.
(I've seen this before)
'the man with logistics initially and sulk' is the wordplay.
'the man' becomes 'he'.
'with' is a charade indicator (letters next to each other).
'initially' says to take the initial letters.
'and' says to put letters next to each other.
'sulk' becomes 'pout' (synonyms).
The initial letter of 'logistics' is 'l'.
'he'+'l'+'pout'='HELP OUT'
(Other definitions for help out that I've seen before include "Lend a hand" , "Give assistance" , "Assist as in a crisis - to leave house?" .)