@Wasim welcome to stackoverflow, for bioinformatics related questions it is better to use bioinformatics page.
I have written a python script to solve your problem on example file given below:
ERR1897927.533;barcodelabel=R40_1193R_F61_799F;
GTAGTCCTAGCCCTAAACGATGGATACTTGGTGTGACTGGGATTGAATCCAGTCGTGCCGAAGCTAACGCATTAAGTATCCCGCCTGGGGAGTACGGTCGCAAGGCTGAAACTCAAAGGAATTGACGGGGGCCCGCACAAGCGGTGGAGCATGTGGTTTAATTCGAAGCAACGCGCAGAA CCTTACCAGCGTTTGACATGGTAGGACGGTTTCCAGAGATGGATTCCTCCCCTTACGGGGCCTACACACAGGTGCTGCATGGCTGTCGTCAGCTCGTGTCGTGAGATGTTGGGTTAAGTC CCGCAACGAGCGCAACCCTCGTCTTTAGTTGCCACCATTTAGTTGGGCACTCTAAAGAAA
ERR1897927.925;barcodelabel=R41_1193R_F62_799F;
GTAGTCCTAGCCCTAAACGATGGATACTTGGTGTGACTGGGATTGAATCCAGTCGTGCCGAAGCTAACGCATTAAGTATCCCGCCT GGGGAGTACGGTCGCAAGGCTGAAACTCAAAGGAATTGACGGGGGCCCGCACAAGCGGTGGAGCATGTGGTTTAATTCGAAGCAAC GCGCAGAA CCTTACCAGCGTTTGACATGGTAGGACGGTTTCCAGAGATGGATTCCTCCCCTTACGGGGCCTACACACAGGTGCTGCATGGCTGT CGTCAGCTCGTGTCGTGAGATGTTGGGTTAAGTC CCGCAACGAGCGCAACCCTCGTCTTTAGTTGCCACCATTTAGTTGGGCACTCTAAAGAAA
ERR1897927.925;barcodelabel=R42_1193R_F62_799F;
GTAGTCCTAGCCCTAAACGATGGATACTTGGTGTGACTGGGATTGAATCCAGTCGTGCCG AAGCTAACGCATTAAGTATCCCGCCTGGGGAGTACGGTCGCAAGGCTGAAACTCAAAGGAATTGACGGGGGCCCGCACAAGCGGTGGAGCATGTGGTTTAATTCGAAGCAACGCGCAGAA CCTTACCAGCGTTTGACATGGTAGGACGGTTTCCAGAGATGGATTCCTCCCCTTACGGGGCCTACACACAGGTGCTGCATGGCTGTCGTCAGCTCGTGTCGTGAGATGTTGGGTTAAGTC CCGCAACGAGCGCAACCCTCGTCTTTAGTTGCCACCATTTAGTTGGGCACTCTAAAGAAA
ERR1897927.925;barcodelabel=R43_1193R_F62_799F;
GTAGTCCTAGCCCTAAACGATGGATACTTGGTGTGACTGGGATTGAATCCAGTCGTGCCG AAGCTAACGCATTAAGTATCCCGCCTGGGGAGTACGGTCGCAAGGCTGAAACTCAAAGGAATTGACGGGGGCCCGCACAAGCGGTGGAGCATGTGGTTTAATTCGAAGCAACGCGCAGAA CCTTACCAGCGTTTGACATGGTAGGACGGTTTCCAGAGATGGATTCCTCCCCTTACGGGGCCTACACACAGGTGCTGCATGGCTGTCGTCAGCTCGTGTCGTGAGATGTTGGGTTAAGTC CCGCAACGAGCGCAACCCTCGTCTTTAGTTGCCACCATTTAGTTGGGCACTCTAAAGAAA
ERR1897927.925;barcodelabel=R44_1193R_F62_799F;
GTAGTCCTAGCCCTAAACGATGGATACTTGGTGTGACTGGGATTGAATCCAGTCGTGCCG AAGCTAACGCATTAAGTATCCCGCCTGGGGAGTACGGTCGCAAGGCTGAAACTCAAAGGAATTGACGGGGGCCCGCACAAGCGGTGGAGCATGTGGTTTAATTCGAAGCAACGCGCAGAA CCTTACCAGCGTTTGACATGGTAGGACGGTTTCCAGAGATGGATTCCTCCCCTTACGGGGCCTACACACAGGTGCTGCATGGCTGTCGTCAGCTCGTGTCGTGAGATGTTGGGTTAAGTC CCGCAACGAGCGCAACCCTCGTCTTTAGTTGCCACCATTTAGTTGGGCACTCTAAAGAAA
The script is
#!/usr/bin/python3
import re
fasta_file = open("fasta_file",'r')
chk = fasta_file.read()
k2=re.split(r'ERR\d+\.\d+;barcodelabel=R{0,9}.*;', chk, flags=re.MULTILINE)
line = [i.replace('\n','') for i in k2]
del line[0]
for i,name in enumerate(line):
f = open("file"+str(i+1)+".txt","w")
f.write(name+"\n")
f.close()
This will generate files based on number of fasta files that are separated by barcodelabel.