Hi.
Thanks for your query.
Noted the history and understood your concerns.
The pain in the groin area on both sides without any swelling/bulge, no 
hernia, getting worse on doing exercises indicate that this may be due to groin strain wherein one get the following:
Since you are exercising the muscles attached tho the pubic ramus get stretched, torn or injured hence the pain is on both the sides.
I would advise you the following in such a situation:
Stop the exercises till you are diagnosed and well treated as putting the repeated strains will cause more problems and make healing impossible.
Secondly,m consult an Orthopedic Surgeon so that the clinical examination will confirm the diagnosis and you get a proper prescription of an anti-inflammatory medications and muscle relaxants and an order for 
MRI and such investigations as needed to get a confirmation.
Follow the instruction as given by the Orthopedic Surgeon or the Physiotherapist.