Will it's definitely more than an inch increase. Get them to come back and have another look, not sure what they can do though

Oh a quarter of an inch, even worse

Almost flat transition strip from Home Depot. Unfinished Oak stained to
match the floor plus a coat of polyurethane. it has a groove on the bottom that fits between the tile and wood floor. Held down with construction adhesive. The one they installed is ridiculous.

Why is the new flooring raised so much higher than the wood floor? Couldn't you tell this was going to happen during the process? You could have a sloped transition piece made that would slope down from the tile floor onto the wood floor. Might deter tripping hazard some. Would be interesting to hear from flooring pros.

Oh, I was presuming both floors were still at the same level, did you put the new floor on top of the existing one?

No the company was supposed to replace the existing floor and use the original saddles...what I believe happened is they did not remove the plywood under the original floor in order to start at the subfloor because they tried to cut corners...

I would have the new floor ripped out and done correctly.

I agree, but can't afford another $3k to $4k

If removing the plywood was in your contract and they didn't do it, it's on them. If they replaced tile with tile, it's strange that there is so much difference, unless they didn't remove all the old mastic and had to use extra in order to set the new tile.