To achieve at/in something means to succeed or be be successful in/at something. Examples: She achieved all her goals in life = She was successful in all her goals in life. He achieved good results at school = He was successful in his exams at school. To manage something means to be in charge of (lead a team for example), or to control/handle with skill something. Examples: He managed a work team of 10 people = He led and was in charge of a team of 10 people. She managed all the tasks given to her = She was able to do/handled ok all the work given to her.

"Achieve (something)". We don't put "to" after this verb. "Manage to (do something)". An infinitive verb follows. This means you were successful, but it was difficult.

Then ,I could say this: I manage to know the true I achieved all my wishes