Yes there's definitely that hunger window, that's when my DD actually eats cooked carrots.
In find she eats well when the veggies are soft and in a sauce, like a casserole. I squish it into the rice. Eggplant is great for this, even beans. Sometimes she eats raw mushroom pieces while I'm cutting them.
My DD also loves pumpklin soup or lentil soup, it's the novelty of dunking the bread in that makes it fun for her. And you can obviously puree anything into the soup.
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?
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