Dessert successfully brought to couch potato after work in kitchen (8,7)

'to couch potato after work in kitchen' is the definition.
I can't tell whether this definition defines the answer.

'dessert successfully' is the wordplay.
I cannot quite see how this works, but
'dessert' could be 'pudding' (pudding is a kind of dessert) and 'pudding' is present in the answer.
'successfully' could be 'well' (I've seen this in other clues) and 'well' is found within the answer.
The remaining letters 'bake' is a valid word which might be clued in a way I don't see.
This explanation may well be incorrect...

'brought' acts as a link.

Can you help me to learn more?