Yes, IIRC, quarks came after Inflation where temperatures were still too high for quarks. Inflation is estimated at ending at 10E-35 sec., though hard science can only address time to 10E-12 sec.
It was Guth, primarily, who stepped in to address two new challenges BBT presented as time was extrapolated backwards. These were the “horizon“ and ”flatness” problems.
BBT is baseed on nearly pure homogeneity. But quantum science near t=o requires a far less degree of uniformity. But the CMBR is smooth to 1part in 100,000, too smooth for what we should see.
Also, the universe is almost perfectly in balance where gravity is equally offset by the expansion force,
Inflation happens to solve both of those problems, apparently.
But, when something that is crazy hard to test gets tossed into a theory to fix problems, it can be deemed as ad hoc. Alternatives, no doubt, to Inflation are welcome.
What’s important, IMO, is how much we’ve discovered that has revealed just how fine-tuned our universe is, as if by design, allowing stars to form. elements to be manufactured, planets to form, and life to come forth.