I see that you have corrected forge to forged. Forged forth has a different meaning then burst forth.
Burst "break suddenly and violently apart, spilling the contents, typically as a result of an impact or internal pressure."
forged used as a transitive verb " to put a lot of effort into making something successful or strong so that it will last"
In the sentences you provided, burst would be correct if he produced his work all at once, but forged is correct since he produced his work over time.