There is a change in meaning, potentially.
The first sentence says that Maelle and Gerard are competent, loving parents and that they are also both engineers.
The second sentence could mean that, but it could instead mean that they are both not just competent, loving parents but also competent, loving engineers.
The changing of the word order creates a new meaning for the second sentence that is, at best, ambiguous.
Example:
If you were to choose between a belt and shoes that are brown or a
belt and shoes that are black and ended up choosing the brown, you
could, and likely would, say, "I want the brown belt and shoes."
That's because the adjective "brown" can apply to all items in the
list, not just the noun that immediately follows. You are saying
"brown" in that sentence to modify not just "belt" but also "shoes."
This is what is happening with changing the word order in your illustration sentence. Again, it could be interpreted to mean what the first sentence says, but not necessarily. A door has been opened to another meaning that could lead someone to misconstrue it, or at least flippantly say, "Oooh, loving engineers?! I don't know what that means, but I definitely want to get invited to their next office Christmas party!"
Another change in meaning that I just noticed has to do with the word "both."
In the first sentence, it's saying that Maelle and Gerard both are engineers, "both" referring to "Maelle" and "Gerard." However, in the second sentence it's saying that Maelle and Gerard are both parents and engineers," "both" referring to "parents" and engineers," not "Maelle" and Gerard."
It doesn't make any material difference to the meaning of sentence as a whole, because whether "both" is before "are" or after "are," or even if it's omitted entirely, we can still tell that both of them are both things by "parents" and "engineers" being plural nouns, but nonetheless, the fact that the nouns that "both" modifies changes between the two sentences is a technical change in meaning.