Fastway declines claim for broken goods

I placed an order for studio light bulbs and they were delivered via Fastway. To my disappointment, when I opened the package, the bulbs were broken. I immediately filled in the relevant form online to let them know. They did not even respond, till I followed up with a call. Then all of a sudden I got a call asking if my husband can sign the delivery form again, because the guy who did the delivery was working on behalf of someone else. And apparently they could not handle my claim if the delivery sheet was not signed under the right person. Obviously we wanted our claim attended to, so my husband signed the delivery sheet again. I got a call from the sender (the company I ordered the bulbs from), apologising for the bad experience I had and telling me that they are so pleased to know that Fastway is taking responsibility and they will cover the claim. Someone came to rudely collect the damaged goods. No etiquette whatsoever. They hooted at my gate out of impatience as if I am the one who is inconveniencing them. Now today, at 13:40 I received an email from Fastway with the subject "CLAIM DECLINED NR…." The email says the following:

"We regret to advise that, in this instance, your claim falls outside of the terms set out in the Conditions of Carriage.

o Any damage must be shown on the run sheet when the goods are signed for. As you can see, no endor*****t has been made on the Run Sheet., Our records indicate that there were no visible signs of mishandling to the exterior packaging of the goods.

In view of the above, we have no alternative other than to deny liability on behalf of Fastway Couriers."

I gave them a call and they confirmed that they are not liable for the damaged goods. I did not break the goods. As a consumer don't I have rights? Now how do I prove that I did not break the goods? Surely, they are taking advantage. I am not happy. Definitely would never use their services. Waiting for feedback from them as they said they will contact the sender of the goods. Apparently the "claimant" is the sender of the goods.