When my daughter had her 13th birthday, we rented what passes for a country club here and threw her the mother of all parties. I borrowed a van to go to her old school to meet parents and bring her old friends to the party. We had lived in a very small very, very rural area and most of those kids had never been in a swimming pool. They had hamburgers and a wait staff on duty. Her new friends got to meet her old friends. It was an unforgettable experience for them and her too.
I'm not saying to do that same thing, but perhaps you can plan something with your daughter to include some of her old friends to spend a weekend. At this point, you can reassure her that she can stay in touch and that you will go pick up her best friends to spend the weekend, with their parents permission of course, and that you will do activities with them. My DH would take our daughter and a few of her friends to the mall and hang out with them all day. For some of her friends this was the only father interaction they ever had and they loved him for it. Sometimes, just him and her would go shopping and have a blast. The biggest gift you can give your daughter is your time. Just pure time. She might snarl or be surly, but what she really craves is your attention and your approval. If she doesn't get this attention and approval from you, then she will find it elsewhere. I don't know what your work schedule is or what your time limits are, but you really need to find a way to spend one on one time with your daughters.
My son-in-law has "date night" with their daughter. She is only 5 years old, but they do this sometimes and it is a BIG DEAL. He goes to the store and comes back with a boquet of flowers, rings the doorbell and asks my daughter if Cohen is ready to go on their date. They are both dressed up and he usually takes her to a movie. He opens her car door for her and treats her like a queen. It is their special time together and they both adore it. perhaps you could do something like this with your daughters, one at a time. Give each of them that special time with you that little girls, and big girls too, want so much from their daddy. When it is just the two of you, ya'll can chat or talk about things without the pressures that are sometimes at home. There is an ulterior motive for this............treat them so good that when they start dating, they won't tolerate anything less than stellar treatment from their date.