Rebecca Liddicoat

Robert Griffin III's estranged wife wants the Cleveland Browns QB to pay for the legal team she had to hire after he filed for divorce ... TMZ Sports has learned. Rebecca Liddicoat -- who was married to RGIII for 3 years -- filed her response to his divorce petition in Texas last week. In the…

The divorce is officially underway ... 'cause Robert Griffin III has finally filed court docs looking to end his 3 year marriage to college sweetheart Rebecca Liddicoat. Just last month, RG3 announced he had broken things off with Liddicoat -- the mother of their 1-year-old daughter -- and had…