You have your dates mixed up. Bach and Handel were both born in 1685. Pergolesi was born in 1710 but actually died 14 years before Bach.
The start of the Baroque is generally dated to the invention of Opera in the early 17th century. Bach was getting going a full century later. His ‘learned’ contrapuntal style was out of fashion by that time and his sons regarded him as an compositional old fogey.
The great composers of the Baroque were Bach, Handel and Domenico Scarlatti. Vivaldi wrote the same concerto 500 times! He had a very limited harmonic framework and he does not approach Bach or the other two I mentioned. All composers after Bach would attest to his superiority.
I'll be honest, Vivaldi is not exactly my favorite, but when it comes to performance, he's a lot easier to interpret.