Added another coat and tie, knotted back through first (9)

'added another coat' is the definition.
Although both the answer and definition are past participle verbs, I can't see how they can define each other.

'and tie knotted back through first' is the wordplay.
'knotted' is an anagram indicator.
'back' says the letters should be written in reverse.
'through' becomes 'per' ('per' can mean through or by means of).
'first' means one lot of letters go next to another.
'per' in reverse letter order is 'rep'.
'and'+'tie'='andtie'
'andtie' with letters rearranged gives 'ainted'.
'ainted' put after 'rep' is 'REPAINTED'.

Can you help me to learn more?