It doesn't really matter - fruits or veggies first. Young children naturally prefer sweeter foods - they are born with it. It has nothing to do with what foods are given 'first' because fruits/veggies are NOT given first. Breastmilk is naturaly sweet so that is why babies are born with a sweet preference. Like everyone, some have a stronger preference than others. Not everyone's tastes buds are the same... some are more sensitive to certain tastes like sweet and bitter.
On the flip side, young children are born highly sensitive to bitter foods and most 'greens' are bitter. Why the preference? Because many poisonous plants taste bitter. That doesn't mean much to us today but up until a 100 years ago it was common to have a 2 or 3 year old playing outside in woods... it dimished the urge to try to eat plants that could be harmful or even fatal.
So... back to your question. Feed your child whatever you want. Mealtimes should be fun and natural - not stressful. You'll find alot of contracting advice about when to start which foods. However, please now that almost all that data is very outdated. There have been a few independent studies released in the past year that prove no relation between when a food is introduce and allergies. For instance... it used to be thought to wait on eggs until a certain age or they would be more likely to be allergic to eggs. That doesn't matter, actually. You can give eggs at 4 months or 10 months and if the child is allergic, they are allergic.... giving eggs earlier won't 'cause' them to be allergic to it.
The only foods you should wait on is honey (because of botulism which is often fatal in babies) and peanut stuff (because if they are allergic the younger bodies are less able to deal with the reaction than toddlers).
Also... the best way to raise a good non-picky eater is to introduce a WIDE variety of tastes and textures before 12 months old. At 1 year, the appetite dimishes greatly and they dont' like trying new foods. Note that means you can't wait a week between introducing foods... or your child will only have eaten a few dozen things. Many allergies don't become apparent until after eating something a half a dozen times (or more) so there's no reason to feed 1 food for 4 days and then move on because more than likely if the child is allergic the reaction won't come for another week... after you've moved on to another food anyways. Starting at around 6 months, just fork-smash whatever the rest of your family is eating and give to baby. Or cut into pea-size bits that they can pick up. And ignore teeth... most babies don't have the 'chewing' teeth until well into the 2nd year and they gum pretty much anything (none of my kids had a tooth until 12 months old and were eating 100% real food by 7-9 months).
And regardless of what it seems like, VERY FEW babies have food allergies. There are a bunch of intolerances, which they outgrow and alot of circumstancial stuff like random normal 'drool rashes' or whatever the parents mistake for allergies.