Synonyms of touch something up in English:

repaint, patch up, retouch, renovate, refurbish, spruce up, restore, revive, renew, revamp, brush up, rehabilitate, overhaul, recondition, refresh, rejuvenate

enhance, beautify

informal do something up, give something a facelift, titivate

improve, enhance, gloss, dress up, embellish, embroider

finish off, round off, perfect

update, upgrade

bring up to date, modernize, revamp, revise, redo, polish up, rewrite, edit