I grate veggies into things for my older kids. Mash potato comes with pumpkin or sweet potato mashed in as well. Lasagna has grated carrot at least in it.
DD2 & DS have just started to realise they like carrot, after I told them I was secretly mixing it in (could've gone the other way though!)

DD3 will eat everything in a mixed dinner, but won't touch the veggies alone. She'll eat stirfry, pasta dishes, cassaroles etc & eat everything on the plate, but meat & 3 veg & the veg doesn't get touched, so maybe try those types of meals?