My wife and I will be in Florence and Rome in very late August and early September.

We're not foodies. We'd like dinner recommendations.

We've been to both cities several times over the years.

One restaurant we ate at and liked in Florence is La Grotta Guelfa on Via Pellicceria.

Quite a few years ago we ate at a restaurant near the Pantheon in Rome. With our backs to the front of the Pantheon we walked about a block ahead and on the right side of the square (possibly Via del Pantheon). The restaurant appeared to cater to locals as there were quite a few suits being worn. Looked like an after work crowd. We liked it very much. I don't remember the name but it might have been Da Fortunato.

Any recent recommendations on the two above or any others?

We are just back and some great meals in both cities.
Not big foodies either. We usually just walk directly AWAY from the tourist areas and then look for small spots where every is speaking Italian and we like the dishes we see on the tables.

One in Florence that we were referred to and lived up to the hype:
Acqua Al 2: a few blocks south of the Duomo.
They do a special tasting menu of 5 small plates of homemade pastas, each with a different sauce, then main course of 3 small steak filets, one with their signature blueberry sauce, but we liked the basalmic just as much.

Reasonable price. You MUST have a reservation (book on-line)

For the area of the Pantheon I would recommend Armando al Pantheon, which is just down the street to the right of the Pantheon if you are standing right in front of its entrance, facing it. Open for lunch & dinner. Reservations required.

But I think you might get more useful information if you say where your hotel is and which parts of town you are likely to be in at lunch time. Unless you don't mind long walks or taxi rides to eat.

In Rome we're staying pretty much in the middle between the Pantheon and Trevi Fountain.

Lunch is never more than a light salad so it's dinner I'm looking at.

Thanks.

Al Moro
La Campana
Babette

But I highly recommend you do a little googling to learn more about these places and see if they are what you enjoy.

I will also suggest Colline Emiliane, but it is the food of Emilia-Romagna, not Rome. If you are going in summer, it can be heavier, since the emphasis is on fresh pasta made with eggs.

I would want to sit down for an evening of pizza while in Rome, but not sure what to recommend for that neighborhood. Maybe google can help out there too.

In Florence, we enjoyed this place:

http://www.casatrattoria.com/trattoria-marione/

and also Il Vinaino near the train station.

In Rome, we had a very nice meal at La Buca di Ripetta. We walked by Colline Emiliane, it looks very nice, but we didn't have a reservation so were unable to get in.

Another option in Rome is Caco e Pepe, a little out of the center, and very busy, but fun and funky.

We were also recommended La Matricianella and Trattoria Monte.

If you can ignore the pitch to "foodies", you might find some worthwhile pointers here

https://theromanfoodie.com/rome-food...revi-fountain/

Where are you staying in Florence?

In Florence we're staying in Piazza Santa Maria Novella.

The opposite side of the square from the church.

Take a look at Katie Parla's website or app. Elizabeth Minchilli's App (Eat Rome) also sorts restaurants by neighborhood...very user-friendly. I think Elizabeth may also have an App for Florence--you could also check her site to see.