The phrase "afterwards found that" is correct and usable in written English.
It can be used when discussing a discovery or realization that occurred after a certain event or action.
Example: "After conducting the experiment, the researchers afterwards found that their initial hypothesis was incorrect."
Alternatives: "subsequently discovered that" or "later realized that".
A Court of Enquiry held immediately afterwards found that the explosion had occurred in the midships 6-inch magazine situated between the boiler and engine rooms.
Almost as soon as the wedding ended, Tchaikovsky felt he had made a mistake and soon afterwards found that he and Antonina were incompatible psychologically and sexually.
That debate is ever-evolving, of course, but the SNP lost a third of their seats at the last general election, and polling conducted afterwards found that 53percentt would vote No in a new referendum, compared to Yes's 39percentt.
"It was pretty devastating," says the artist Sarah Cockings, who returned to the site shortly afterwards to find that six months of her work had gone.
I found that really heartbreaking, and shortly afterwards Ramarley Graham and Trayvon Martin were killed.
Anne, who at no moment that day dared to turn on the television (nor did she for weeks afterwards), found out later that Stephen had got through to another of her sons, his brother Peter.
And soon afterwards I came home to find that John-Paul had inflicted his own inexpert scissorwork on her while I was at the office.
For instance, when he questioned the volunteers afterwards, he was shocked to find that 92% of the volunteers had absolutely no idea that they'd been manipulated and felt that they had been in complete control of their decisions.
Afterwards we found that easyJet had sent us emails notifying the change of airport on the morning of the flight, when we did not have access to our emails.
When the players arrived in their hotel rooms afterwards, they found that their TV screens had been hacked, the traditional "Welcome" messages replaced with sinister threats and abuse.
When they measured each person's response to their fears afterwards, they found that their amygdala responses had decreased, and so did their skin conductance response and only for the animal they were targeting, not the other one they were afraid of that they weren't being rewarded for.
