"thus earning" is correct and usable in written English.
You can use it when referring to someone who has gained something after taking a certain action. For example, "The woman worked hard, thus earning her promotion."
Empathy he knew what team members needed and how to supply it, thus earning their trust.
The drone that the Iranians showcased appeared cobbled together after a crash — thus earning the nickname "FrankenEagle" across the Navy.
This involves traders borrowing euros and investing in higher-yield assets such as equities (and thus earning a carry).
American professional baseball player who was one of the most successful power pitchers in history, thus earning his nickname, "Rocket".
Along the way he sold off underperforming divisions and fired about 100,000 people, thus earning himself the name "Neutron Jack".
But ever since insurance companies started sending out free calendars for that, constellations have become obsolete, thus earning the nickname "Eyesores of the Sky".
She took control of shipping cocaine from the North Valley Cartel in Colombia to ports in western Mexico, thus earning her name the Queen of the Pacific.
Indeed, Carson's decision to run for president can be dated to the breakfast at which he attacked President Barack Obama, thus earning the love of social conservatives.
In past annual rebalancings, the companies that were added to the list tended to be ones that had soared in value, thus earning their spots.
Early in the Brown administration, the building received a meticulous renovation, complete with fresh gold leaf for the dome, thus earning the nickname the Taj Ma-Willie.
Most of the group sang mantras while sitting or lying on their mats, thus earning themselves a place in Guinness World Records.
