Final answer:
Lucentio is admitting to Baptista that he married Baptista's daughter using disguises and deception which prevented Baptista from seeing the truth.
Step-by-step explanation:
In pleading for forgiveness from his father, Lucentio in William Shakespeare's play 'The Taming of the Shrew' is confessing that he has married Baptista's daughter while disguises and deception were used to obscure the truth. By saying "by marriage made thy daughter mine/while counterfeit supposes bleared thine eyes," Lucentio is revealing that he, under the guise of someone else, has successfully wooed and wed Baptista's daughter, thus making her his wife without Baptista's full awareness or consent. The term "counterfeit supposes" refers to the false identities and pretenses that were employed during the courtship.