If it is flowering but there is no fruit set it is either a pollination problem or a mineral deficiency. If you don't want to do a soil test then maybe apply some seaweed meal and rock dust and keep your fingers crossed for next year.
........or insufficient water to swell the fruit. As there are flowers though I would go with the poor pollination option, which could be due to an absence of bees or other pollinators, or to a late frost.
Autumn fruiting varieties grow on new canes grown this year, so if you're pulling those out you're losing the main crop. Main crop rasps grow on the canes which grew through last summer. To tell old canes from new, the old ones will have a branched appearance, and be woodier, new canes are straight and green and more flexible. You get some fruit on old canes but not much.
Looking at the pic again, it is a bit of a mess. Your plant should consist of straight canes, tied in individually, not that bushy jumble - as someone has already said, raspberries grow on canes not bushes.
So for fruit next year, cut the old growth back in late summer and leave the new canes to develop. If it's an autumn fruiting variety then those young canes might fruit late in the year.