Encourage to shift the earth at the end of the garden (7)
I believe the answer is:
hearten
'encourage' is the definition.
(heartening is a kind of encouraging)
'shift the earth at the end of the garden' is the wordplay.
'shift' indicates anagramming the letters.
'at the end of' indicates one should take the final letters.
The final letters of 'the garden' are 'en'.
'earth' anagrammed gives 'heart'.
'heart'+'en'='HEARTEN'
'to' acts as a link.
(Other definitions for hearten that I've seen before include "given cheer" , "Make cheerful" , "Comfort" , "Buoy" , "Make (someone) more confident" .)